A model structure on GCat

A model structure on GCat

We define a model structure on the category GCat of small categories with an action by a finite group G by lifting the Thomason model structure on Cat. We show there is a Quillen equivalence between GCat with this model structure and GTop with the standard model structure.

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Veröffentlicht in:arXiv.org 2014-06
Hauptverfasser: Bohmann, Anna Marie, Mazur, Kristen, Osorno, Angélica M, Ozornova, Viktoriya, Ponto, Kate, Yarnall, Carolyn
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Economic models
Mathematics - Algebraic Topology
Mathematics - Category Theory
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creator Bohmann, Anna Marie
Mazur, Kristen
Osorno, Angélica M
Ozornova, Viktoriya
Ponto, Kate
Yarnall, Carolyn
description We define a model structure on the category GCat of small categories with an action by a finite group G by lifting the Thomason model structure on Cat. We show there is a Quillen equivalence between GCat with this model structure and GTop with the standard model structure.
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subjects Economic models
Mathematics - Algebraic Topology
Mathematics - Category Theory
title A model structure on GCat
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