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.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2014-06
Hauptverfasser:	Bohmann, Anna Marie, Mazur, Kristen, Osorno, Angélica M, Ozornova, Viktoriya, Ponto, Kate, Yarnall, Carolyn
Format:	Artikel
Sprache:	eng
Schlagworte:	Economic models Mathematics - Algebraic Topology Mathematics - Category Theory
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.1311.4605