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Homotopy limits for 2-categories

Published online by Cambridge University Press:  01 July 2008

NICOLA GAMBINO
NICOLA GAMBINO*
Affiliation:
Département de Mathématiques, Université du Québec à Montréal, Case Postale 8888, Succursale Centre-Ville, Montréal (Québec) H3C 3P8, Canada. e-mail: [email protected]
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Abstract

We study homotopy limits for 2-categories using the theory of Quillen model categories. In order to do so, we establish the existence of projective and injective model structures on diagram 2-categories. Using these results, we describe the homotopical behaviour not only of conical limits but also of weighted limits. Finally, pseudo-limits are related to homotopy limits.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 145 , Issue 1 , July 2008 , pp. 43 - 63
Copyright
Copyright © Cambridge Philosophical Society 2008

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