Algebraic & Geometric Topology

Categorical models for equivariant classifying spaces

Bertrand Guillou, Peter May, and Mona Merling

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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.

Article information

Algebr. Geom. Topol., Volume 17, Number 5 (2017), 2565-2602.

Received: 14 July 2012
Revised: 25 September 2016
Accepted: 27 March 2017
First available in Project Euclid: 16 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55R91: Equivariant fiber spaces and bundles [See also 19L47] 55R35: Classifying spaces of groups and $H$-spaces
Secondary: 55P92: Relations between equivariant and nonequivariant homotopy theory 55R91: Equivariant fiber spaces and bundles [See also 19L47]

equivariant classifying spaces


Guillou, Bertrand; May, Peter; Merling, Mona. Categorical models for equivariant classifying spaces. Algebr. Geom. Topol. 17 (2017), no. 5, 2565--2602. doi:10.2140/agt.2017.17.2565.

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