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arXiv:2310.14235 [math.AT]AbstractReferencesReviewsResources

Synthetic approach to the Quillen model structure on topological spaces

Sterling Ebel, Chris Kapulkin

Published 2023-10-22Version 1

We provide an axiomatic treatment of Quillen's construction of the model structure on topological spaces to make it applicable to a wider range of settings, including $\Delta$-generated spaces and pseudotopological spaces. We use this axiomatization to construct a model structure on the category of locales.

Comments: 31 pages; comments welcome
Categories: math.AT, math.CT
Subjects: 55U35, 18N40, 18F70
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