Categorical models for equivariant classifying spaces

Guillou, Bertrand; May, Peter; Merling, Mona

doi:10.2140/agt.2017.17.2565

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Categorical models for equivariant classifying spaces

Bertrand J Guillou, J Peter May and Mona Merling

Algebraic & Geometric Topology 17 (2017) 2565–2602

DOI: 10.2140/agt.2017.17.2565

Abstract

Starting categorically, we give simple and precise models for classifying spaces of equivariant principal bundles. We need these models for work in progress in equivariant infinite loop space theory and equivariant algebraic $K$ –theory, but the models are of independent interest in equivariant bundle theory and especially equivariant covering space theory.

Keywords

equivariant classifying spaces

Mathematical Subject Classification 2010

Primary: 55R91, 55R35

Secondary: 55P92, 55R91

References

Publication

Received: 14 July 2012

Revised: 25 September 2016

Accepted: 27 March 2017

Published: 19 September 2017

Authors

Bertrand J Guillou
Department of Mathematics The University of Kentucky Lexington, KY United States

J Peter May
Department of Mathematics The University of Chicago Chicago, IL United States

Mona Merling
Department of Mathematics Johns Hopkins University Baltimore, MD United States

Volume 17, issue 5 (2017)