{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T03:38:28Z","timestamp":1772509108009,"version":"3.50.1"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2018,4,12]],"date-time":"2018-04-12T00:00:00Z","timestamp":1523491200000},"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":["Discrete Comput Geom"],"published-print":{"date-parts":[[2018,9]]},"DOI":"10.1007\/s00454-018-9998-8","type":"journal-article","created":{"date-parts":[[2018,4,12]],"date-time":"2018-04-12T10:33:54Z","timestamp":1523529234000},"page":"420-429","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Pach\u2019s Selection Theorem Does Not Admit a Topological Extension"],"prefix":"10.1007","volume":"60","author":[{"given":"Imre","family":"B\u00e1r\u00e1ny","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3804-4300","authenticated-orcid":false,"given":"Roy","family":"Meshulam","sequence":"additional","affiliation":[]},{"given":"Eran","family":"Nevo","sequence":"additional","affiliation":[]},{"given":"Martin","family":"Tancer","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,4,12]]},"reference":[{"issue":"3","key":"9998_CR1","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/BF02579382","volume":"6","author":"N Alon","year":"1986","unstructured":"Alon, N.: Eigenvalues, geometric expanders, sorting in rounds, and Ramsey theory. Combinatorica 6(3), 207\u2013219 (1986)","journal-title":"Combinatorica"},{"issue":"2\u20133","key":"9998_CR2","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1016\/0012-365X(82)90115-7","volume":"40","author":"I B\u00e1r\u00e1ny","year":"1982","unstructured":"B\u00e1r\u00e1ny, I.: A generalization of Carath\u00e9odory\u2019s theorem. Discrete Math. 40(2\u20133), 141\u2013152 (1982)","journal-title":"Discrete Math."},{"key":"9998_CR3","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1007\/BF02123008","volume":"10","author":"I B\u00e1r\u00e1ny","year":"1990","unstructured":"B\u00e1r\u00e1ny, I., F\u00fcredi, Z., Lov\u00e1sz, L.: On the number of halving planes. Combinatorica 10, 175\u2013183 (1990)","journal-title":"Combinatorica"},{"issue":"1","key":"9998_CR4","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/BF00181519","volume":"17","author":"E Boros","year":"1984","unstructured":"Boros, E., F\u00fcredi, Z.: The number of triangles covering the center of an \n                    \n                      \n                    \n                    $$n$$\n                    \n                      \n                        n\n                      \n                    \n                  -set. Geom. Dedicata. 17(1), 69\u201377 (1984)","journal-title":"Geom. Dedicata."},{"key":"9998_CR5","unstructured":"Bukh, B., Hubard, A.: On a topological version of Pach\u2019s overlap theorem (2017). \n                    https:\/\/arxiv.org\/abs\/1708.04350"},{"key":"9998_CR6","first-page":"159","volume":"20","author":"K Corr\u00e1di","year":"1969","unstructured":"Corr\u00e1di, K.: Problem at the Schweitzer competition. Mat. Lapok 20, 159\u2013162 (1969)","journal-title":"Mat. Lapok"},{"issue":"4","key":"9998_CR7","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1142\/S1793525312500197","volume":"4","author":"D Dotterrer","year":"2012","unstructured":"Dotterrer, D., Kahle, M.: Coboundary expanders. J. Topol. Anal. 4(4), 499\u2013514 (2012)","journal-title":"J. Topol. Anal."},{"key":"9998_CR8","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/BF02759942","volume":"2","author":"P Erd\u0151s","year":"1964","unstructured":"Erd\u0151s, P.: On extremal problems of graphs and generalized graphs. Israel J. Math. 2, 183\u2013190 (1964)","journal-title":"Israel J. Math."},{"issue":"2","key":"9998_CR9","doi-asserted-by":"publisher","first-page":"416","DOI":"10.1007\/s00039-010-0073-8","volume":"20","author":"M Gromov","year":"2010","unstructured":"Gromov, M.: Singularities, expanders and topology of maps. Part 2: From combinatorics to topology via algebraic isoperimetry. Geom. Funct. Anal. 20(2), 416\u2013526 (2010)","journal-title":"Geom. Funct. Anal."},{"key":"9998_CR10","volume-title":"Combinatorial Problems and Exercises","author":"L Lov\u00e1sz","year":"1993","unstructured":"Lov\u00e1sz, L.: Combinatorial Problems and Exercises, 2nd edn. North-Holland, Amsterdam (1993)","edition":"2"},{"issue":"1","key":"9998_CR11","doi-asserted-by":"publisher","first-page":"155","DOI":"10.4171\/GGD\/346","volume":"10","author":"A Lubotzky","year":"2016","unstructured":"Lubotzky, A., Meshulam, R., Mozes, S.: Expansion of building-like complexes. Groups Geom. Dyn. 10(1), 155\u2013175 (2016)","journal-title":"Groups Geom. Dyn."},{"issue":"1","key":"9998_CR12","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/S0925-7721(97)00022-9","volume":"10","author":"J Pach","year":"1998","unstructured":"Pach, J.: A Tverberg-type result on multicolored simplices. Comput. Geom. 10(1), 71\u201376 (1998)","journal-title":"Comput. Geom."},{"key":"9998_CR13","volume-title":"Cambridge Studies in Advanced Mathematics","author":"RP Stanley","year":"2012","unstructured":"Stanley, R.P.: Enumerative Combinatorics. Cambridge Studies in Advanced Mathematics, 2nd edn. Cambridge University Press, Cambridge (2012)","edition":"2"},{"issue":"9","key":"9998_CR14","doi-asserted-by":"publisher","first-page":"3285","DOI":"10.1090\/S0002-9939-10-10463-8","volume":"138","author":"M Tancer","year":"2010","unstructured":"Tancer, M.: Non-representability of finite projective planes by convex sets. Proc. Amer. Math. Soc. 138(9), 3285\u20133291 (2010)","journal-title":"Proc. Amer. Math. Soc."}],"container-title":["Discrete & Computational Geometry"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00454-018-9998-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-018-9998-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00454-018-9998-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,11]],"date-time":"2019-04-11T19:35:39Z","timestamp":1555011339000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00454-018-9998-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,4,12]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2018,9]]}},"alternative-id":["9998"],"URL":"https:\/\/doi.org\/10.1007\/s00454-018-9998-8","relation":{},"ISSN":["0179-5376","1432-0444"],"issn-type":[{"value":"0179-5376","type":"print"},{"value":"1432-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,4,12]]},"assertion":[{"value":"19 October 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 March 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 April 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 April 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}