Relative elegance and cartesian cubes with one connection
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Acceso en línea: | |
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| _version_ | 1866912647130120192 |
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| author | Cavallo, Evan Sattler, Christian |
| author_facet | Cavallo, Evan Sattler, Christian |
| contents | We establish a Quillen equivalence between the Kan-Quillen model structure and a model structure, derived from a cubical model of homotopy type theory, on the category of cartesian cubical sets with one connection. We thereby identify a second model structure which both constructively models homotopy type theory and presents infinity-groupoids, the first example being the equivariant cartesian model of Awodey-Cavallo-Coquand-Riehl-Sattler. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_14801 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Relative elegance and cartesian cubes with one connection Cavallo, Evan Sattler, Christian Algebraic Topology Category Theory We establish a Quillen equivalence between the Kan-Quillen model structure and a model structure, derived from a cubical model of homotopy type theory, on the category of cartesian cubical sets with one connection. We thereby identify a second model structure which both constructively models homotopy type theory and presents infinity-groupoids, the first example being the equivariant cartesian model of Awodey-Cavallo-Coquand-Riehl-Sattler. |
| title | Relative elegance and cartesian cubes with one connection |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2211.14801 |