Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 17, Number 5 (2017), 2565-2602.
Categorical models for equivariant classifying spaces
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 –theory, but the models are of independent interest in equivariant bundle theory and especially equivariant covering space theory.
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
Permanent link to this document
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. https://projecteuclid.org/euclid.agt/1510841476