このエントリーをはてなブックマークに追加
ID 49098
FullText URL
Author
Tanaka, Kohei
Abstract
We consider a model structure on the category of small categories, which is intimately related to the notion of coverings and fundamental groups of small categories. Fibrant objects coincide with groupoids, and the fibrant replacement is the groupoidification.
Keywords
model categories
small categories
coverings
Published Date
2013-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume55
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
95
End Page
116
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
English
Copyright Holders
Copyright©2013 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol55/iss1/4
JaLCDOI