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arXiv · 1311.4605

A model structure on GCat

Anna Marie Bohmann·Kristen Mazur·Angélica M. Osorno·Viktoriya Ozornova·Kate Ponto·Carolyn Yarnall
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Abstract

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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Anna Marie Bohmann, Kristen Mazur, Angélica M. Osorno, Viktoriya Ozornova, Kate Ponto, Carolyn Yarnall. 2014-06-02. A model structure on GCat. https://doi.org/10.1090/conm%2F641%2F12861

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