Mathematical Journal of Okayama University volume67 issue1
2025-01 発行

The Quillen model structure on the category of diffeological spaces

Haraguchi, Tadayuki Faculty of Education for Human Growth, Nara Gakuen University
Shimakawa, Kazuhisa Okayama University Kaken ID publons
Publication Date
2025-01
Abstract
We construct on the category of diffeological spaces a Quillen model structure having smooth weak homotopy equivalences as the class of weak equivalences.
Keywords
Diffeological space
Homotopy theory
Model category
Comments
Mathematics Subject Classification. Primary 18N40; Secondary 18F60, 55Q05.
ISSN
0030-1566
NCID
AA00723502