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Homotopy theory of
$G$–diagrams and equivariant excision
Emanuele Dotto and Kristian Moi |
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Algebraic & Geometric Topology 16 (2016) 325–395
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Abstract |
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Let be a finite group. We define a suitable model-categorical framework for –equivariant homotopy theory, which we call –model categories. We show that the diagrams in a –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. |
Keywords
equivariant homotopy, excision
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Mathematical Subject Classification 2010
Primary: 55N91, 55P91
Secondary: 55P65, 55P42
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References |
Publication
Received: 2 September 2014
Revised: 11 April 2015
Accepted: 7 May 2015
Published: 23 February 2016
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Authors |
| Emanuele Dotto | |
| Department of Mathematics Massachusetts Institute of Technology 77 Massachusetts Avenue Cambridge, MA 02139-4307 USA |
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| http://math.mit.edu/~dotto/ | |
| Kristian Moi | |
| Department of Mathematical
Sciences University of Copenhagen Universitetsparken 5 DK-2100 Copenhagen Denmark |
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| http://www.math.uni-muenster.de/u/moi/ | |
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