Synthetic approach to the Quillen model structure on topological spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911328380125184 |
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| author | Ebel, Sterling Kapulkin, Chris |
| author_facet | Ebel, Sterling Kapulkin, Chris |
| contents | 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 $Δ$-generated spaces and pseudotopological spaces. We use this axiomatization to construct a model structure on the category of locales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14235 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Synthetic approach to the Quillen model structure on topological spaces Ebel, Sterling Kapulkin, Chris Algebraic Topology Category Theory 55U35, 18N40 (primary), 18F70 (secondary) 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 $Δ$-generated spaces and pseudotopological spaces. We use this axiomatization to construct a model structure on the category of locales. |
| title | Synthetic approach to the Quillen model structure on topological spaces |
| topic | Algebraic Topology Category Theory 55U35, 18N40 (primary), 18F70 (secondary) |
| url | https://arxiv.org/abs/2310.14235 |