Orbit categories, classifying spaces, and generalized homotopy fixed points
Algebraic Topology
2018-05-09 v5 K-Theory and Homology
Abstract
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.
Cite
@article{arxiv.1507.06112,
title = {Orbit categories, classifying spaces, and generalized homotopy fixed points},
author = {Daniel A. Ramras},
journal= {arXiv preprint arXiv:1507.06112},
year = {2018}
}
Comments
10 pages. Version 4: various improvements to the exposition based on comments from the referee and editor