Homotopy limits of model categories and more general homotopy theories

Details Homotopy limits of model categories and more general homotopy theories Homotopy limits of model categories and more general homotopy theories

2010-10-04

arxiv.org/abs/1010.0717v2

Mathematics

Algebraic Topology

10 pages; a few minor changes made. arXiv admin note: text overlap with arXiv:0811.3175

Scientific paper

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.

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