Orbit categories, classifying spaces, and generalized homotopy fixed points

We give a new description of Rosenthal's generalized homotopy fixed point spaces as homotopy limits over the orbit category. This is achieved using a simple categorical model for classifying spaces with respect to families of subgroups.

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Bibliographic Details
Published inarXiv.org
Main Author Ramras, Daniel A
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.05.2018
Subjects
Classification
Mathematics - Algebraic Topology
Mathematics - K-Theory and Homology
Subgroups
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Summary:We give a new description of Rosenthal's generalized homotopy fixed point spaces as homotopy limits over the orbit category. This is achieved using a simple categorical model for classifying spaces with respect to families of subgroups.
ISSN:2331-8422
DOI:10.48550/arxiv.1507.06112