{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,19]],"date-time":"2025-05-19T04:02:20Z","timestamp":1747627340179,"version":"3.40.5"},"reference-count":21,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2003,6,1]],"date-time":"2003-06-01T00:00:00Z","timestamp":1054425600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,6,1]],"date-time":"2003-06-01T00:00:00Z","timestamp":1054425600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Categorical Structures"],"published-print":{"date-parts":[[2003,6]]},"DOI":"10.1023\/a:1024247613677","type":"journal-article","created":{"date-parts":[[2003,9,15]],"date-time":"2003-09-15T15:32:14Z","timestamp":1063639934000},"page":"219-227","source":"Crossref","is-referenced-by-count":8,"title":["Functorial Calculus in Monoidal Bicategories"],"prefix":"10.1007","volume":"11","author":[{"given":"Ross","family":"Street","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"401492_CR1","series-title":"Lecture Notes in Math.","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BFb0074298","volume-title":"Introduction to bicategories","author":"J. B\u00e9nabou","year":"1967","unstructured":"B\u00e9nabou, J.: Introduction to bicategories, Lecture Notes in Math. 47, Springer, Berlin, 1967, pp. 1\u201377."},{"key":"401492_CR2","doi-asserted-by":"crossref","unstructured":"Baez, J. and Dolan, J.: From finite sets to Feynman diagrams, in B. Engquist and W. Schmid (eds.), Mathematics Unlimited \u2013 2001 and Beyond, Springer-Verlag, Berlin, to appear.","DOI":"10.1007\/978-3-642-56478-9_3"},{"key":"401492_CR3","series-title":"Lecture Notes in Math.","first-page":"1","volume-title":"On closed categories of functors","author":"B. J. Day","year":"1970","unstructured":"Day, B. J.: On closed categories of functors, Lecture Notes in Math. 137, Springer, Berlin, 1970, pp. 1\u201338."},{"key":"401492_CR4","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1017\/S1446788700020334","volume":"24","author":"B. J. Day","year":"1977","unstructured":"Day, B. J.: Note on compact closed categories, Australian Mathematical Society Journal Series A\n24 (1977), 309\u2013311.","journal-title":"Australian Mathematical Society Journal Series A"},{"key":"401492_CR5","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1006\/aima.1997.1649","volume":"129","author":"B. J. Day","year":"1997","unstructured":"Day, B. J. and Street, R.: Monoidal bicategories and Hopf algebroids, Advances in Mathematics\n129 (1997), 99\u2013157.","journal-title":"Advances in Mathematics"},{"key":"401492_CR6","series-title":"Lecture Notes in Math.","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1007\/BFb0060443","volume-title":"Dinatural transformations","author":"E. Dubuc","year":"1970","unstructured":"Dubuc, E. and Street, R.: Dinatural transformations, Lecture Notes in Math. 137, Springer, Berlin, 1970, pp. 126\u2013137."},{"key":"401492_CR7","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1073\/pnas.28.12.537","volume":"28","author":"S. Eilenberg","year":"1942","unstructured":"Eilenberg, S. and Mac Lane, S.: Natural isomorphisms in group theory, Proceedings of the National Academy of Sciences of the U.S.A.\n28 (1942), 537\u2013543.","journal-title":"Proceedings of the National Academy of Sciences of the U.S.A."},{"key":"401492_CR8","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1090\/S0002-9947-1945-0013131-6","volume":"58","author":"S. Eilenberg","year":"1945","unstructured":"Eilenberg, S. and Mac Lane, S.: General theory of natural equivalences, Transactions of the American Mathematical Society\n58 (1945), 231\u2013294.","journal-title":"Transactions of the American Mathematical Society"},{"key":"401492_CR9","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1016\/0021-8693(66)90006-8","volume":"3","author":"S. Eilenberg","year":"1966","unstructured":"Eilenberg, S. and Kelly, G. M.: A generalization of the functorial calculus, Journal of Algebra\n3 (1966), 366\u2013375.","journal-title":"Journal of Algebra"},{"key":"401492_CR10","doi-asserted-by":"crossref","unstructured":"Eilenberg, S. and Kelly, G. M.: Closed categories, in Proceedings of the Conference on Categorical Algebra at La Jolla, Springer, 1966, pp. 421\u2013562.","DOI":"10.1007\/978-3-642-99902-4_22"},{"key":"401492_CR11","doi-asserted-by":"crossref","unstructured":"Gordon, R., Power, A. J. and Street, R.: Coherence for tricategories, Memoirs of the American Mathematical Society\n117 #558 (1995) (ISBN 0-8218-0344-1).","DOI":"10.1090\/memo\/0558"},{"key":"401492_CR12","series-title":"Lecture Notes in Math.","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0061280","volume-title":"Formal Category Theory: Adjointness for 2-Categories","author":"J. W. Gray","year":"1974","unstructured":"Gray, J. W.: Formal Category Theory: Adjointness for 2-Categories, Lecture Notes in Math. 391, Springer, Berlin, 1974."},{"key":"401492_CR13","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1016\/B978-0-12-339050-9.50011-0","volume-title":"Algebra, Topology, and Category Theory","author":"J. W. Gray","year":"1976","unstructured":"Gray, J. W.: Coherence for the tensor product of 2-categories, and braid groups, in Algebra, Topology, and Category Theory (a collection of papers in honour of Samuel Eilenberg), Academic Press, New York, 1976, pp. 63\u201376."},{"key":"401492_CR14","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1006\/aima.1993.1055","volume":"102","author":"A. Joyal","year":"1993","unstructured":"Joyal, A. and Street, R.: Braided tensor categories, Advances in Mathematics\n102 (1993), 20\u201378.","journal-title":"Advances in Mathematics"},{"key":"401492_CR15","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/0001-8708(91)90003-P","volume":"88","author":"A. Joyal","year":"1991","unstructured":"Joyal, A. and Street, R.: The geometry of tensor calculus I, Advances in Mathematics\n88 (1991), 55\u2013112.","journal-title":"Advances in Mathematics"},{"key":"401492_CR16","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/0021-8693(65)90022-0","volume":"2","author":"G. M. Kelly","year":"1965","unstructured":"Kelly, G. M.: Tensor products in categories, Journal of Algebra\n2 (1965), 15\u201337.","journal-title":"Journal of Algebra"},{"key":"401492_CR17","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/0022-4049(80)90101-2","volume":"19","author":"G. M. Kelly","year":"1980","unstructured":"Kelly, G. M. and Laplaza, M. L.: Coherence for compact closed categories, Journal of Pure and Applied Algebra\n19 (1980), 193\u2013213.","journal-title":"Journal of Pure and Applied Algebra"},{"key":"401492_CR18","series-title":"Lecture Notes in Math.","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/BFb0063101","volume-title":"Review of the elements of 2-categories","author":"G. M. Kelly","year":"1974","unstructured":"Kelly, G. M. and Street, R.: Review of the elements of 2-categories, Lecture Notes in Math. 420, Springer, Berlin, 1974, pp. 75\u2013103."},{"key":"401492_CR19","doi-asserted-by":"crossref","unstructured":"Mac Lane, S.: Categories for the Working Mathematician, Graduate Texts in Math. 5, Springer-Verlag, 1971.","DOI":"10.1007\/978-1-4612-9839-7"},{"key":"401492_CR20","unstructured":"McIntyre, M. and Trimble, T.: The geometry of Gray monoids, Preprint."},{"key":"401492_CR21","unstructured":"Street, R. and Verity, D.: Low-dimensional topology and higher-order categories, in Proceedings of CT95, Halifax, July 9\u201315, 1995. http:\/\/www.mta.ca\/~cat-dist\/ct95.html"}],"container-title":["Applied Categorical Structures"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1024247613677.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1024247613677\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1024247613677.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,18]],"date-time":"2025-05-18T14:39:26Z","timestamp":1747579166000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1024247613677"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,6]]},"references-count":21,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,6]]}},"alternative-id":["401492"],"URL":"https:\/\/doi.org\/10.1023\/a:1024247613677","relation":{},"ISSN":["0927-2852","1572-9095"],"issn-type":[{"type":"print","value":"0927-2852"},{"type":"electronic","value":"1572-9095"}],"subject":[],"published":{"date-parts":[[2003,6]]}}}