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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

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.

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equivariant classifying spaces
Mathematical Subject Classification 2010
Primary: 55R91, 55R35
Secondary: 55P92, 55R91
Received: 14 July 2012
Revised: 25 September 2016
Accepted: 27 March 2017
Published: 19 September 2017
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