A model structure on GCat

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

doi:10.1090/conm/641/12861

A model structure on GCat

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

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

11 Scopus citations

Abstract

We define a model structure on the category GCat of small categories with an action by a discrete 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.

Original language	English
Title of host publication	Contemporary Mathematics
Pages	123-134
Number of pages	12
DOIs	https://doi.org/10.1090/conm/641/12861
State	Published - 2015

Publication series

Name	Contemporary Mathematics
Volume	641
ISSN (Print)	0271-4132
ISSN (Electronic)	1098-3627

Bibliographical note

Publisher Copyright:
© 2015 American Mathematical Society.

ASJC Scopus subject areas

General Mathematics

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10.1090/conm/641/12861

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title = "A model structure on GCat",

abstract = "We define a model structure on the category GCat of small categories with an action by a discrete 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.",

author = "Bohmann, {Anna Marie} and Kristen Mazur and Osorno, {Ang{\'e}lica M.} and Viktoriya Ozornova and Kate Ponto and Carolyn Yarnall",

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AU - Bohmann, Anna Marie

AU - Mazur, Kristen

AU - Osorno, Angélica M.

AU - Ozornova, Viktoriya

AU - Ponto, Kate

AU - Yarnall, Carolyn

PY - 2015

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AB - We define a model structure on the category GCat of small categories with an action by a discrete 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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M3 - Chapter

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BT - Contemporary Mathematics

ER -

A model structure on GCat

Abstract

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