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arXiv · 1010.0717

Homotopy limits of model categories and more general homotopy theories

Julia E. Bergner
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Abstract

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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Julia E. Bergner. 2012-04-24. Homotopy limits of model categories and more general homotopy theories. https://doi.org/10.1112/blms%2Fbdr095

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