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Homotopy theory of
cocomplete quasicategories
Karol Szumiło |
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Algebraic & Geometric Topology 17 (2017) 765–791
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Abstract |
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We prove that the homotopy theory of cocomplete quasicategories is equivalent to the homotopy theory of cofibration categories. This is achieved by presenting both theories as fibration categories and constructing an explicit exact equivalence between them. |
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Keywords
homotopy theory, quasicategory, homotopy colimit,
cofibration category
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Mathematical Subject Classification 2010
Primary: 55U35
Secondary: 18G55
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References |
Publication
Received: 29 June 2015
Revised: 30 April 2016
Accepted: 4 July 2016
Published: 14 March 2017
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Authors |
| Karol Szumiło | |
| Department of Mathematics University of Western Ontario 1151 Richmond Street London ON N6A 3K7 Canada |
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| http://www.math.uwo.ca/~kszumilo | |
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