Volume 17, issue 5 (2017)

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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
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 $K\phantom{\rule{0.3em}{0ex}}$–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