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A
cartesian presentation of weak $n$–categories
Charles Rezk |
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Geometry & Topology 14 (2010) 521–571
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Correction: 10.2140/gt.2010.14.2301
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Abstract |
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We propose a notion of weak –category, which we call ––spaces. The ––spaces are precisely the fibrant objects of a certain model category structure on the category of presheaves of simplicial sets on Joyal’s category . This notion is a generalization of that of complete Segal spaces (which are precisely the ––spaces). Our main result is that the above model category is cartesian. |
Keywords
$n$–categories, complete Segal spaces
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Mathematical Subject Classification 2000
Primary: 18D05
Secondary: 55U40
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References |
Publication
Received: 7 February 2009
Revised: 6 May 2009
Accepted: 16 September 2009
Preview posted: 3 November 2009
Published: 2 January 2010
Proposed: Ralph Cohen
Seconded: Haynes Miller, Peter Teichner
Correction: 29 October 2010
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Authors |
| Charles Rezk | |
| Department of Mathematics University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W Green Street Urbana, IL 61801 |
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