{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,7,12]],"date-time":"2022-07-12T11:56:55Z","timestamp":1657627015009},"reference-count":95,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2019,2,1]],"date-time":"2019-02-01T00:00:00Z","timestamp":1548979200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2019,2]]},"DOI":"10.1007\/s11424-019-8342-6","type":"journal-article","created":{"date-parts":[[2019,2,14]],"date-time":"2019-02-14T05:53:25Z","timestamp":1550123605000},"page":"3-36","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On the Contribution of Wu Wen-Ts\u00fcn to Algebraic Topology"],"prefix":"10.1007","volume":"32","author":[{"given":"Jean-Paul","family":"Brasselet","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,2,14]]},"reference":[{"key":"8342_CR1","first-page":"1139","volume":"16","author":"W T Wu","year":"1947","unstructured":"Wu W T, Note sur les produits essentiels sym\u00e9triques des espaces topologiques, C. R. Acad. Sci. Paris, 1947, 16: 1139\u20131141.","journal-title":"C. R. Acad. Sci. Paris"},{"key":"8342_CR2","first-page":"508","volume":"230","author":"W T Wu","year":"1950","unstructured":"Wu W T, Classes caract\u00e9ristiques et i-carr\u00e9s d\u2019une vari\u00e9t\u00e9, C. R. Acad. Sci. Paris, 1950, 230: 508\u2013511.","journal-title":"C. R. Acad. Sci. Paris"},{"issue":"3","key":"8342_CR3","first-page":"251","volume":"7","author":"W T Wu","year":"1958","unstructured":"Wu W T, On the realization of complexes in Euclidean spaces I, Sciencia Sinica, Mathematics, 1958, 7(3): 251\u2013297, First published in Chinese in Acta Matematica Sinica, 1955, 5(1): 505\u2013552.","journal-title":"Mathematics"},{"key":"8342_CR4","first-page":"573","volume":"9","author":"W T Wu","year":"1956","unstructured":"Wu W T, On the imbedding of polyhedrons in Euclidean spaces, Bulletin de l\u2019Acad\u00e9mie Polonaise des Sciences, Cl. III\u2013Vol IV, 1956, (9): 573\u2013577.","journal-title":"Bulletin de l\u2019Acad\u00e9mie Polonaise des Sciences"},{"issue":"4","key":"8342_CR5","first-page":"365","volume":"7","author":"W T Wu","year":"1958","unstructured":"Wu W T, On the realization of complexes in Euclidean spaces II, Sciencia Sinica, Mathematics, 1958, 7(4): 365\u2013387, First published in Chinese in Acta Matematica Sinica, 1957, 7(1): 79\u2013101.","journal-title":"Sciencia Sinica, Mathematics"},{"issue":"1","key":"8342_CR6","first-page":"79","volume":"8","author":"W T Wu","year":"1958","unstructured":"Wu W T, On the realization of complexes in Euclidean spaces III, Acta Matematica Sinica, 1958, 8(1): 79\u201394 (translated, 666\u2013678).","journal-title":"Acta Matematica Sinica"},{"issue":"1","key":"8342_CR7","first-page":"25","volume":"12","author":"W T Wu","year":"1963","unstructured":"Wu W T, On the imbedding of orientable manifolds in a Euclidean space, Sciencia Sinica, Mathematics, 1963, 12(1): 25\u201333.","journal-title":"Sciencia Sinica, Mathematics"},{"issue":"1","key":"8342_CR8","first-page":"160","volume":"13","author":"W T Wu","year":"1963","unstructured":"Wu W T, A theorem on immersion, Sciencia Sinica (Notes), 1963, 13(1): 160.","journal-title":"Sciencia Sinica (Notes)"},{"issue":"1","key":"8342_CR9","first-page":"335","volume":"13","author":"W T Wu","year":"1963","unstructured":"Wu W T, On the immersion of C \u221e -3-manifolds in a Euclidean space, Sciencia Sinica (Notes), 1963, 13(1): 335.","journal-title":"Sciencia Sinica (Notes)"},{"issue":"4","key":"8342_CR10","first-page":"681","volume":"13","author":"W T Wu","year":"1963","unstructured":"Wu W T, On the notion of imbedding classes, Sciencia Sinica (Notes), 1963, 13(4): 681\u2013682.","journal-title":"Sciencia Sinica (Notes)"},{"key":"8342_CR11","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1007\/BF01199559","volume":"25","author":"E Stiefel","year":"1935","unstructured":"Stiefel E, Richtungsfelder und Fernparallelismus in n-dimensionalen Mannigfaltigkeiten, Comm. Math. Helv., 1935, 25: 305\u2013353.","journal-title":"Comm. Math. Helv."},{"key":"8342_CR12","doi-asserted-by":"publisher","first-page":"462","DOI":"10.1073\/pnas.21.7.462","volume":"21","author":"H Whitney","year":"1935","unstructured":"Whitney H, Sphere spaces, Proc. Nat. Acad. Sci., 1935, 21: 462\u2013468.","journal-title":"Proc. Nat. Acad. Sci."},{"key":"8342_CR13","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1073\/pnas.26.2.143","volume":"26","author":"H Whitney","year":"1940","unstructured":"Whitney H, On the theory of sphere bundles, Proc. Nat. Acad. Sci., 1940, 26: 143\u2013153.","journal-title":"Proc. Nat. Acad. Sci."},{"key":"8342_CR14","doi-asserted-by":"publisher","DOI":"10.1515\/9781400883875","volume-title":"Topology of Fibre Bundles","author":"N Steenrod","year":"1951","unstructured":"Steenrod N, Topology of Fibre Bundles, Princeton University Press, 1951."},{"key":"8342_CR15","first-page":"101","volume-title":"Lecture in Topology, Conference at University of Michigan","author":"H Whitney","year":"1941","unstructured":"Whitney H, On the topology of differentiable manifolds, Lecture in Topology, Conference at University of Michigan, University of Michigan Press, 1941, 101\u2013141."},{"key":"8342_CR16","doi-asserted-by":"publisher","first-page":"362","DOI":"10.2307\/1969285","volume":"49","author":"S S Chern","year":"1948","unstructured":"Chern S S, On the multiplication in the characteristic ring of a sphere bundle, Ann. of Math, 1948, 49: 362\u2013372.","journal-title":"Ann. of Math"},{"key":"8342_CR17","doi-asserted-by":"publisher","first-page":"641","DOI":"10.2307\/1969049","volume":"49","author":"W T Wu","year":"1948","unstructured":"Wu W T, On the product of sphere bundles and the duality theorem modulo two, Ann. of Math, 1948, 49: 641\u2013653.","journal-title":"Ann. of Math"},{"key":"8342_CR18","first-page":"1900","volume-title":"A History of Algebraic and Differential Topology","author":"J A Dieudonn\u00e9","year":"1989","unstructured":"Dieudonn\u00e9 J A, A History of Algebraic and Differential Topology, Birkh\u00e4user, Boston, 1989, 1900\u20131960."},{"issue":"63","key":"8342_CR19","first-page":"233","volume":"21","author":"L S Pontrjagin","year":"1947","unstructured":"Pontrjagin L S, Characteristic cycles on differentiable manifolds, Math. Sbor., 1947, 21(63): 233\u2013284, Amer. Math. Soc., Translations, series 1, no 32.","journal-title":"Math. Sbor."},{"key":"8342_CR20","doi-asserted-by":"publisher","first-page":"396","DOI":"10.2307\/1968440","volume":"35","author":"C Ehresman","year":"1934","unstructured":"Ehresman C, Sur la topologie de certain espaces homog\u00e8nes, Ann. of Math., 1934, 35: 396\u2013443.","journal-title":"Ann. of Math."},{"key":"8342_CR21","volume-title":"Kalk\u00fcl der abz\u00e4hlende Geometrie","author":"H Schubert","year":"1789","unstructured":"Schubert H, Kalk\u00fcl der abz\u00e4hlende Geometrie, Teubner Verlag, Leipzig, 1789."},{"key":"8342_CR22","doi-asserted-by":"publisher","first-page":"85","DOI":"10.2307\/1969037","volume":"47","author":"S S Chern","year":"1946","unstructured":"Chern S S, Characteristic classes of hermitian manifolds, Ann. of Math, 1946, 47: 85\u2013121.","journal-title":"Ann. of Math"},{"key":"8342_CR23","doi-asserted-by":"crossref","DOI":"10.1515\/9781400881826","volume-title":"Characteristic Classes","author":"J Milnor","year":"1974","unstructured":"Milnor J and Stasheff J, Characteristic Classes, Princeton University Press, Princeton, 1974."},{"key":"8342_CR24","doi-asserted-by":"publisher","first-page":"290","DOI":"10.2307\/1969172","volume":"48","author":"N Steenrod","year":"1947","unstructured":"Steenrod N, Products of cocycles and extensions of mappings, Ann. of Math., 1947, 48: 290\u2013320.","journal-title":"Ann. of Math."},{"key":"8342_CR25","volume-title":"Carr\u00e9s de Steenrod, expos\u00e9s","author":"H Cartan","year":"1950","unstructured":"Cartan H, S\u00e9minaire Henri Cartan tome 2 (1949\u20131950) exp. 14 and exp. 15. Carr\u00e9s de Steenrod, expos\u00e9s de H. Cartan on 13th and 20th March 1950."},{"key":"8342_CR26","doi-asserted-by":"publisher","first-page":"720","DOI":"10.1073\/pnas.38.8.720","volume":"38","author":"J Adem","year":"1952","unstructured":"Adem J, The iteration of the Steenrod squares in algebraic topology, Proc. Nat. Acad. Sci. USA, 1952, 38: 720\u2013724.","journal-title":"Proc. Nat. Acad. Sci. USA"},{"key":"8342_CR27","first-page":"224","volume-title":"Oeuvres","author":"J P Serre","year":"1986","unstructured":"Serre J P, Oeuvres vol.1, Springer, Berlin-Heidelberg, New York, Tokyo, 1986, 224."},{"key":"8342_CR28","unstructured":"Steenrod N and Epstein D B A, Cohomology operations, Annals of Mathematics Studies, 50, Princeton University Press."},{"key":"8342_CR29","unstructured":"Sati H, Twisted topological structures related to M-branes II: Twisted Wu and Wuc structures, arXiv: 1109.4461."},{"issue":"3","key":"8342_CR30","doi-asserted-by":"publisher","first-page":"489","DOI":"10.32917\/hmj\/1206129957","volume":"17","author":"T Yoshida","year":"1987","unstructured":"Yoshida T, Universal Wu classes, Hiroshima Math. J., 1987, 17(3): 489\u2013493.","journal-title":"Hiroshima Math. J."},{"key":"8342_CR31","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-663-14045-0","volume-title":"Manifolds and Modular Forms","author":"F Hirzebruch","year":"1992","unstructured":"Hirzebruch F, Berger T, and Jung R, Manifolds and Modular Forms, Friedr. Vieweg and Sohn, Braunschweig, 1992."},{"key":"8342_CR32","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-30697-0","volume-title":"Topological Methods in Algebraic Geometry","author":"F Hirzebruch","year":"1966","unstructured":"Hirzebruch F, Topological Methods in Algebraic Geometry, Springer-Verlag, 1966."},{"key":"8342_CR33","first-page":"918","volume":"230","author":"W T Wu","year":"1950","unstructured":"Wu W T, Les i-carr\u00e9s dans une vari\u00e9t\u00e9 grassmannienne, C. R. Acad. Sci. Paris, 1950, 230: 918\u2013920.","journal-title":"C. R. Acad. Sci. Paris"},{"key":"8342_CR34","first-page":"35","volume-title":"Coll. de Top. Alg\u00e9brique","author":"G Hirsch","year":"1947","unstructured":"Hirsch G, La g\u00e9om\u00e9trie projective et la topologie des espaces fibr\u00e9s Coll. de Top. Alg\u00e9brique, Paris, C.N.R.S., 1947, 35\u201342."},{"key":"8342_CR35","first-page":"80","volume":"3","author":"J F Adams","year":"1958","unstructured":"Adams J F, On the structure and applications of the Steenrod algebra, Comment. Math. Helv., 1958, 3: 80\u2013214.","journal-title":"Comment. Math. Helv."},{"key":"8342_CR36","first-page":"235","volume":"7","author":"W T Wu","year":"1957","unstructured":"Wu W T, On the relations between Smith operations and Steenrod powers, Acta Math. Sinica, 1957, 7: 235\u2013241 (in Chinese), Translation in Sixteen papers on Topology and One in Game Theory, American Mathematical Society Translations, by Chow Sho-kwan, 1964, 38(2): 269\u2013276.","journal-title":"Acta Math. Sinica"},{"key":"8342_CR37","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1007\/BF01180171","volume":"77","author":"M F Atiyah","year":"1961","unstructured":"Atiyah M F and Hirzebruch F, Cohomologie-Operationen und characteristische Klassen, Math. Z., 1961, 77: 149\u2013187.","journal-title":"Math. Z."},{"key":"8342_CR38","volume-title":"Wu class - definition Bulletin of the Manifold Atlas","author":"K Knapp","year":"2014","unstructured":"Knapp K, Wu class - definition Bulletin of the Manifold Atlas - 2014, www.map.mpimbonn.mpg.de\/Wu_class."},{"issue":"3","key":"8342_CR39","doi-asserted-by":"publisher","first-page":"329","DOI":"10.4310\/jdg\/1143642908","volume":"70","author":"M J Hopkins","year":"2005","unstructured":"Hopkins M J and Singer I M, Quadratic functions in geometry, topology and M-theory, J. Differential Geom., 2005, 70(3): 329\u2013452.","journal-title":"J. Differential Geom."},{"key":"8342_CR40","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1007\/BF02566923","volume":"28","author":"R Thom","year":"1954","unstructured":"Thom R, Quelques propri\u00e9t\u00e9es globales des vari\u00e9t\u00e9s diff\u00e9rentiables, Comment. Math. Helvet., 1954, 28: 17\u201386.","journal-title":"Comment. Math. Helvet."},{"issue":"2","key":"8342_CR41","volume":"100","year":"1987","unstructured":"Stong R E and Yoshida T, Wu classes, Proceedings of the American Mathematical Society, 1987, 100(2).","journal-title":"Proceedings of the American Mathematical Society"},{"key":"8342_CR42","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1007\/BF01473879","volume":"65","author":"A Dold","year":"1956","unstructured":"Dold A, Vollst\u00e4ndigkeit der Wu-schen Relationen zwischen den Stiefel-Whitneyschen Zahlen differenzierbarer Mannigfaltigkeiten, Math. Z., 1956, 65: 200\u2013206.","journal-title":"Math. Z."},{"key":"8342_CR43","doi-asserted-by":"crossref","unstructured":"Milnor J, On the Stiefel-Whitney numbers of complex manifolds and of Spin manifolds, Topology, 2: 223\u2013230.","DOI":"10.1016\/0040-9383(65)90055-8"},{"key":"8342_CR44","doi-asserted-by":"crossref","unstructured":"Sullivan D, Combinatorial invariants of analytic spaces, Proc. of Liverpool Singularities I. Lecture Notes in Math 192, Springer Verlag, 165\u2013177.","DOI":"10.1007\/BFb0066822"},{"issue":"3","key":"8342_CR45","doi-asserted-by":"publisher","first-page":"511","DOI":"10.2307\/1970823","volume":"96","author":"S Halperin","year":"1972","unstructured":"Halperin S and Toledo D, Stiefel-Whitney homology classes, Ann. of Maths, Second Series, 1972, 96(3): 511\u2013525.","journal-title":"Ann. of Maths, Second Series"},{"issue":"2","key":"8342_CR46","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/0040-9383(80)90003-8","volume":"19","author":"M Goresky","year":"1980","unstructured":"Goresky M and MacPherson R, Intersection homology theory, Topology, 1980, 19(2): 135\u2013162.","journal-title":"Topology"},{"key":"8342_CR47","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1016\/0040-9383(89)90012-8","volume":"28","author":"M Goresky","year":"1989","unstructured":"Goresky M and Pardon W, Wu numbers of singular spaces, Topology, 1989, 28: 325\u2013367.","journal-title":"Topology"},{"issue":"2","key":"8342_CR48","doi-asserted-by":"publisher","first-page":"147","DOI":"10.2307\/2118630","volume":"141","author":"G Barthel","year":"1995","unstructured":"Barthel G, Brasselet J P, Fieseler K, et al., Rel\u00e8vement de cycles alg\u00e9briques et homomorphismes associ\u00e9s en homologie d\u2019intersection [Lifting of algebraic cycles and associated homomorphisms in intersection homology], Ann. of Math., 1995, 141(2): 147\u2013179.","journal-title":"Ann. of Math."},{"issue":"1","key":"8342_CR49","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/BF01389130","volume":"72","author":"M Goresky","year":"1983","unstructured":"Goresky M and MacPherson R, Intersection homology II, Invent. Math., 1983, 72(1): 77\u2013129.","journal-title":"Invent. Math."},{"key":"8342_CR50","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1007\/978-0-8176-4765-0","volume-title":"Intersection Cohomology, Progress in Mathematics","author":"A Borel","year":"1984","unstructured":"Borel A, et al, Intersection Cohomology, Progress in Mathematics, Swiss seminars, Boston, 1984, 50."},{"issue":"243","key":"8342_CR51","volume":"31","year":"1981","unstructured":"Fulton W and MacPherson R, Categorical framework for the study of singular spaces, Mem. Amer. Math. Soc., 1981, 31(243).","journal-title":"Mem. Amer. Math. Soc."},{"key":"8342_CR52","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1007\/BF02566362","volume":"59","author":"M Goresky","year":"1984","unstructured":"Goresky M, Intersection Homology operations, Comment. Math. Helvet., 1984, 59: 485\u2013505.","journal-title":"Comment. Math. Helvet."},{"key":"8342_CR53","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1090\/S0002-9947-1981-0621981-X","volume":"267","author":"M Goresky","year":"1981","unstructured":"Goresky M, Whitney stratified chains and cochains, Trans. Amer. Math. Soc., 1981, 267: 175\u2013196.","journal-title":"Trans. Amer. Math. Soc."},{"issue":"5","key":"8342_CR54","doi-asserted-by":"publisher","first-page":"1067","DOI":"10.2307\/2374334","volume":"105","author":"P Siegel","year":"1983","unstructured":"Siegel P, Witt spaces: A geometric cycle theory for KO-homology at odd primes, Amer. J. Math., 1983, 105(5): 1067\u20131105.","journal-title":"Amer. J. Math."},{"key":"8342_CR55","volume-title":"The Wu Classes on Cobordism Theory","author":"J P Brasselet","year":"2017","unstructured":"Brasselet J P, Libardi A K M, Rizziolli E C, et al., The Wu Classes on Cobordism Theory, Preprint 2017."},{"key":"8342_CR56","unstructured":"Brasselet J P, Libardi A K M, Rizziolli E C, et al., Cobordism of Maps of Locally Orientable Witt Spaces, arXiv: 1403.1983v1."},{"key":"8342_CR57","unstructured":"Belov D M and Moore G W, Holographic action for the self-dual field, https:\/\/arxiv.org\/abs\/hepth\/0605038."},{"key":"8342_CR58","doi-asserted-by":"publisher","first-page":"103","DOI":"10.1016\/S0393-0440(97)80160-X","volume":"22","author":"E Witten","year":"1997","unstructured":"Witten E, Five-Brane effective action in M-theory, J. Geom. Phys., 1997, 22: 103\u2013133.","journal-title":"J. Geom. Phys."},{"issue":"5","key":"8342_CR59","doi-asserted-by":"publisher","first-page":"1750015","DOI":"10.1142\/S0129055X17500155","volume":"29","author":"S Monnier","year":"2017","unstructured":"Monnier S, Topological field theories on manifolds with Wu structures, Rev. Math. Phys., 2017, 29(5): 1750015.","journal-title":"Rev. Math. Phys."},{"key":"8342_CR60","volume-title":"The Classifying Spaces for Surgery and Cobordism of Manifolds","author":"I Madsen","year":"1979","unstructured":"Madsen I and Milgram R J, The Classifying Spaces for Surgery and Cobordism of Manifolds, Princeton University Press and University of Tokyo, Princeton and Tokyo, 1979."},{"key":"8342_CR61","volume-title":"Simplicial Objects in Algebraic Topology","author":"J P May","year":"1967","unstructured":"May J P, Simplicial Objects in Algebraic Topology, Chicago Lectures in Mathematics, 1967."},{"key":"8342_CR62","unstructured":"Sati H, Global anomalies in type IIB string theory, arXiv: 1109.4385."},{"key":"8342_CR63","first-page":"395","volume":"8","author":"W T Wu","year":"1965","unstructured":"Wu W T, On Chern characteristic classes of an algebraic variety, Shuxue Jinzhan, 1965, 8: 395\u2013401 (in Chinese).","journal-title":"Shuxue Jinzhan"},{"key":"8342_CR64","first-page":"3262","volume":"260","author":"M H Schwartz","year":"1965","unstructured":"Schwartz M H, Classes caract\u00e9ristiques d\u00e9finies par une stratification d\u2019une vari\u00e9t\u00e9 analytique complexe, CRAS, 1965, 260: 3262\u20133264, 3535\u20133537.","journal-title":"CRAS"},{"key":"8342_CR65","first-page":"321","volume":"II","author":"R MacPherson","year":"1973","unstructured":"MacPherson R, Characteristic classes for singular varieties, Proc. 9th Brazilian Math. Coll. Po\u00e7os de Caldas, 1973, II: 321\u2013327.","journal-title":"Proc. 9th Brazilian Math. Coll. Po\u00e7os de Caldas"},{"issue":"I","key":"8342_CR66","first-page":"171","volume":"319","author":"J Zhou","year":"1994","unstructured":"Zhou J, Classes de Wu et classes de Mather, C. R. Acad. Sci. Paris, 1994, 319(I): 171\u2013174.","journal-title":"C. R. Acad. Sci. Paris"},{"key":"8342_CR67","volume-title":"Classes de Chern pour les vari\u00e9t\u00e9s singuli\u00e8res","author":"J Zhou","year":"1995","unstructured":"Zhou J, Classes de Chern pour les vari\u00e9t\u00e9s singuli\u00e8res, Th\u00e8se soutenue le 8 f\u00e9vrier 1995, Universit\u00e9 d\u2019Aix-Marseille II."},{"key":"8342_CR68","first-page":"93","volume":"82\u201383","author":"J P Brasselet","year":"1981","unstructured":"Brasselet J P, Schwartz M H, Sur les classes de Chern d\u2019un ensemble analytique complexe, Ast\u00e9risque 82\u201383, 1981, 93\u2013147.","journal-title":"Sur les classes de Chern d\u2019un ensemble analytique complexe"},{"key":"8342_CR69","first-page":"402","volume":"8","author":"W T Wu","year":"1965","unstructured":"Wu W T, Algebraic varieties with dual rational dissections, On Shuxue Jinzhan, 1965, 8: 402\u2013409 (in Chinese).","journal-title":"On Shuxue Jinzhan"},{"key":"8342_CR70","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511623875","volume-title":"Methods of Algebraic Geometry, Volume I (Book II)","author":"W V D Hodge","year":"1994","unstructured":"Hodge W V D and Pedoe D, Methods of Algebraic Geometry, Volume I (Book II), Cambridge University Press, Cambridge, 1994 [1947]."},{"issue":"8","key":"8342_CR71","first-page":"701","volume":"26","author":"X F Liu","year":"1996","unstructured":"Liu X F, Chern classes of singular algebraic varieties, Science in China (Ser. A), 1996, 26(8): 701\u2013705 (in Chinese).","journal-title":"Science in China (Ser. A)"},{"issue":"5","key":"8342_CR72","first-page":"719","volume":"90","author":"P B Gamkrelidze","year":"1953","unstructured":"Gamkrelidze P B, Computation of the Chern cycles of algebraic manifolds, Doklady Akad. Nauk SSSR, (N.S.), 1953, 90(5): 719\u2013722 (in Russian).","journal-title":"Doklady Akad. Nauk SSSR, (N.S.)"},{"key":"8342_CR73","first-page":"685","volume":"20","author":"P B Gamkrelidze","year":"1956","unstructured":"Gamkrelidze P B, Chern\u2019s cycles of algebraic manifolds, Izv. Acad. Scis., CCCP, Math. Series, 1956, 20: 685\u2013706 (in Russian).","journal-title":"Izv. Acad. Scis., CCCP, Math. Series"},{"key":"8342_CR74","unstructured":"Piene R, Cycles polaires et classes de Chern pour les vari\u00e9t\u00e9s projectives singuli\u00e8res, S\u00e9minaire sur les singularit\u00e9s des surfaces 1977\u20131978, Centre de Math., Ecole Polytechnique, 7\u201334."},{"key":"8342_CR75","first-page":"35","volume":"34","author":"L S Pontrjagin","year":"1942","unstructured":"Pontrjagin L S, Mappings of a 3-dimensional sphere into an dimensional complex, Dokl. Akad. Nauk SSSR, 1942, 34: 35\u201337 (in Russian).","journal-title":"Dokl. Akad. Nauk SSSR"},{"key":"8342_CR76","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1016\/0040-9383(73)90001-3","volume":"12","author":"G W Brumfiel","year":"1973","unstructured":"Brumfiel G W and Morgan J W, Quadratic functions, the index modulo 8 and a Z\/4-Hirzebruch formula, Topology, 1973, 12: 105\u2013122.","journal-title":"Topology"},{"key":"8342_CR77","doi-asserted-by":"crossref","DOI":"10.4324\/9780203795095","volume-title":"Reviving Ancient Chinese Mathematics, Mathematics, History and Politics in the Work of Wen-Ts\u00fcn Wu","author":"J Hudecek","year":"2014","unstructured":"Hudecek J, Reviving Ancient Chinese Mathematics, Mathematics, History and Politics in the Work of Wen-Ts\u00fcn Wu, Routledge, Taylor and Francis group, London and New-York, 2014."},{"key":"8342_CR78","unstructured":"O\u2019Connor J J and Robertson E F, http:\/\/www-history.mcs.st-andrews.ac.uk\/Biographies\/Wu_Wen-Tsun.html."},{"key":"8342_CR79","doi-asserted-by":"crossref","unstructured":"Wen-Ts\u00fcn Wu\u2019s Academic Career, Communicated by Xiao-shan Gao, Beijing, ACM Communications in Computer Algebra, 2006, 40(2). The official press release can be found at The Shaw Prize Foundation webpage, 2006, http:\/\/www.shawprize.org\/.","DOI":"10.1145\/1182553.1182567"},{"key":"8342_CR80","doi-asserted-by":"publisher","DOI":"10.1142\/6727","volume-title":"Selected Works of Wen-Ts\u00fcn Wu","author":"W T Wu","year":"2008","unstructured":"Wu W T, Selected Works of Wen-Ts\u00fcn Wu, World Scientific Publishing Co. Re. Ltd, 2008."},{"issue":"4","key":"8342_CR81","doi-asserted-by":"publisher","first-page":"361","DOI":"10.1016\/S0252-9602(18)30362-X","volume":"9","author":"B Li","year":"1989","unstructured":"Li B, Wu Wen-Ts\u00fcn \u2014 An outstanding Mathematician, Acta Mathematica Scientia, 1989, 9(4): 361\u2013365.","journal-title":"Acta Mathematica Scientia"},{"key":"8342_CR82","unstructured":"Cheeger J, A Combinatorial Formula for Stiefel-Whitney Homology Classes, Eds. by Cantrell J C and Edwards C H, Markham Publ. Co., 1970."},{"issue":"9","key":"8342_CR83","first-page":"69","volume":"16","author":"C Ehresman","year":"1937","unstructured":"Ehresman C, Sur la topologie de certaines vari\u00e9t\u00e9s alg\u00e9briques r\u00e9elles, J. Math. Pures Appl., 1937, 16(9): 69\u2013100.","journal-title":"J. Math. Pures Appl."},{"key":"8342_CR84","volume-title":"History of Topology","author":"I M James","year":"1999","unstructured":"James I M, History of Topology, North-Holland, Elesevier Science B.V., 1999."},{"key":"8342_CR85","volume-title":"Cohomology Operations and Applications in Homotopy Theory","author":"R E Mosher","year":"1968","unstructured":"Mosher R E and Tangora M C, Cohomology Operations and Applications in Homotopy Theory, Harper & Row, Publishers, New York-London, 1968."},{"key":"8342_CR86","first-page":"1","volume":"1","author":"H Poincar\u00e9","year":"1895","unstructured":"Poincar\u00e9 H, Analysis situs, Journal de l\u2019Ecole Polytechnique, 1895, (1): 1\u2013121.","journal-title":"Journal de l\u2019Ecole Polytechnique"},{"key":"8342_CR87","first-page":"245","volume-title":"Topology 5","author":"R E Stong","year":"1966","unstructured":"Stong R E, Cobordism of maps, Topology 5, 1966, 245\u2013258."},{"key":"8342_CR88","doi-asserted-by":"crossref","DOI":"10.1515\/9781400879977","volume-title":"Notes on Cobordism Theory","author":"R E Stong","year":"1968","unstructured":"Stong R E, Notes on Cobordism Theory, Princeton Legacy Library, Princeton, 1968."},{"issue":"4","key":"8342_CR89","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1093\/qmath\/28.4.381","volume":"28","author":"L R Taylor","year":"1977","unstructured":"Taylor L R, Stiefel-Whitney homology classes, The Quarterly Journal of Mathematics, 1977, 28(4): 381\u2013387.","journal-title":"The Quarterly Journal of Mathematics"},{"key":"8342_CR90","volume-title":"Les classes caract\u00e9ristiques d\u2019un espace fibr\u00e9","author":"W T Wu","year":"1950","unstructured":"Wu W T, Les classes caract\u00e9ristiques d\u2019un espace fibr\u00e9, S\u00e9minaire Cartan, 1949\u201350, expos\u00e9s 17 and 18, 24th April and 8th May 1950."},{"key":"8342_CR91","volume-title":"Sur les classes caract\u00e9ristiques des structures fibr\u00e9es sph\u00e9riques","author":"W T Wu","year":"1952","unstructured":"Wu W T, Sur les classes caract\u00e9ristiques des structures fibr\u00e9es sph\u00e9riques, Publ. de l\u2019Inst. Math. de l\u2019Univ. de Strasbourg, XI, Paris, Herman, 1952."},{"key":"8342_CR92","first-page":"203","volume":"2","author":"W T Wu","year":"1953","unstructured":"Wu W T, On squares in Grassmann manifolds, Acta Math. Sinica, 1953, 2: 203\u2013229 (in Chinese), Translation in Sixteen papers on Topology and One in Game Theory, American Mathematical Society Translations, by Chow Sho-kwan, 1964, 38(2): 235\u2013258.","journal-title":"Acta Math. Sinica"},{"key":"8342_CR93","first-page":"401","volume":"5","author":"W T Wu","year":"1955","unstructured":"Wu W T, On Pontjagin classes V, Acta Math. Sinica, 1955, 5: 401\u2013410 (in Chinese), Translation in Sixteen papers on Topology and One in Game Theory, American Mathematical Society Translations, by Chow Sho-kwan, 1964, 38(2): 259\u2013268.","journal-title":"Acta Math. Sinica"},{"key":"8342_CR94","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/BF02560036","volume":"3","author":"W T Wu","year":"1987","unstructured":"Wu W T, On Chern numbers of algebraic varieties with arbitrary singularities, Acta Math. Sinica, New Series, 1987, (3): 227\u2013236.","journal-title":"Acta Math. Sinica, New Series"},{"key":"8342_CR95","unstructured":"Wu W T, Memory of My First Research Teacher: The Great Geometer Chern Shiing-Shen, \u201cInspired by S. S. Chern\u201d, A Memorial Volume in Honor of A Great Mathematician, Nankai Tracts in Mathematics, Vol. 11, Ed. by Griffiths P A, World Scientific, 461\u2013485."}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11424-019-8342-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-019-8342-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-019-8342-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,11,27]],"date-time":"2020-11-27T18:59:36Z","timestamp":1606503576000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11424-019-8342-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2]]},"references-count":95,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,2]]}},"alternative-id":["8342"],"URL":"https:\/\/doi.org\/10.1007\/s11424-019-8342-6","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,2]]},"assertion":[{"value":"19 September 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 November 2018","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 February 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}