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arXiv:2411.18546 [math.AT]AbstractReferencesReviewsResources

Homotopy limits of model categories, revisited

Julia E. Bergner

Published 2024-11-27Version 1

The definition of the homotopy limit of a diagram of left Quillen functors of model categories has been useful in a number of applications. In this paper we review its definition and summarize some of these applications. We conclude with a discussion of why we could work with right Quillen functors instead, but cannot work with a combination of the two.

Comments: 18 pages. Expository paper
Journal: in Equivariant Topology and Derived Algebra (S. Balchin et al, editors), London Mathematical Society Lecture Note Series 474 (2021)
Categories: math.AT, math.CT
Subjects: 55U40, 55U35, 18G55, 18G30, 18D20
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