Homotopy limits of model categories and more general homotopy theories

Autor:	Bergner, Julia E.
Rok vydání:	2010
Předmět:	Mathematics - Algebraic Topology Mathematics - Category Theory 55U40 55U35 18G55 18G30 18D20
Druh dokumentu:	Working Paper
DOI:	10.1112/blms/bdr095
Popis:	Generalizing a definition of homotopy fiber products of model categories, we give a definition of the homotopy limit of a diagram of left Quillen functors between model categories. As has been previously shown for homotopy fiber products, we prove that such a homotopy limit does in fact correspond to the usual homotopy limit, when we work in a more general model for homotopy theories in which they can be regarded as objects of a model category. Comment: 10 pages; a few minor changes made. arXiv admin note: text overlap with arXiv:0811.3175
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1010.0717 Zobrazit plný text záznamu View this record from Arxiv