Algebraic & Geometric Topology

Homotopy theory of $G$–diagrams and equivariant excision

Emanuele Dotto and Kristian Moi

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Let G be a finite group. We define a suitable model-categorical framework for G–equivariant homotopy theory, which we call G–model categories. We show that the diagrams in a G–model category which are equipped with a certain equivariant structure admit a model structure. This model category of equivariant diagrams supports a well-behaved theory of equivariant homotopy limits and colimits. We then apply this theory to study equivariant excision of homotopy functors.

Article information

Algebr. Geom. Topol., Volume 16, Number 1 (2016), 325-395.

Received: 2 September 2014
Revised: 11 April 2015
Accepted: 7 May 2015
First available in Project Euclid: 16 November 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55N91: Equivariant homology and cohomology [See also 19L47] 55P91: Equivariant homotopy theory [See also 19L47]
Secondary: 55P65: Homotopy functors 55P42: Stable homotopy theory, spectra

equivariant homotopy excision


Dotto, Emanuele; Moi, Kristian. Homotopy theory of $G$–diagrams and equivariant excision. Algebr. Geom. Topol. 16 (2016), no. 1, 325--395. doi:10.2140/agt.2016.16.325.

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