The Quillen model structure on the category of diffeological spaces
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| Author |
Haraguchi, Tadayuki
Faculty of Education for Human Growth, Nara Gakuen University
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| Abstract | We construct on the category of diffeological spaces a Quillen model structure having smooth weak homotopy equivalences as the class of weak equivalences.
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| Keywords | Diffeological space
Homotopy theory
Model category
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| Note | Mathematics Subject Classification. Primary 18N40; Secondary 18F60, 55Q05.
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| Published Date | 2025-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume67
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 29
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| End Page | 51
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2025 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol67/iss1/2
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