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Comparison of models for
$(\infty, n)$–categories, I
Julia E Bergner and Charles Rezk |
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Geometry & Topology 17 (2013) 2163–2202
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Abstract |
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While many different models for –categories are currently being used, it is known that they are Quillen equivalent to one another. Several higher-order analogues of them are being developed as models for –categories. In this paper, we establish model structures for some naturally arising categories of objects which should be thought of as –categories. Furthermore, we establish Quillen equivalences between them. |
Keywords
$(\infty, n)$–categories, $\Theta_n$–spaces, enriched
categories
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Mathematical Subject Classification 2010
Primary: 55U40
Secondary: 55U35, 18D15, 18D20, 18G30, 18C10
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References |
Publication
Received: 17 April 2012
Revised: 18 March 2013
Accepted: 17 April 2013
Published: 19 July 2013
Proposed: Paul Goerss
Seconded: Peter Teichner, Ralph Cohen
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Authors |
| Julia E Bergner | |
| Department of Mathematics University of California Riverside 900 University Avenue Riverside, CA 92521 USA |
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| http://www.math.ucr.edu/~jbergner/ | |
| Charles Rezk | |
| Department of Mathematics University of Illinois at Urbana-Champaign 273 Altgeld Hall MC-382 1409 West Green Street Urbana, IL 61801 USA |
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| http://www.math.uiuc.edu/~rezk/ | |
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