A model for the coherent walking $ω$-equivalence
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909178082099200 |
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| author | Hadzihasanovic, Amar Loubaton, Félix Ozornova, Viktoriya Rovelli, Martina |
| author_facet | Hadzihasanovic, Amar Loubaton, Félix Ozornova, Viktoriya Rovelli, Martina |
| contents | We prove that a certain $ω$-category, which was constructed in previous work by the third and fourth author, is a model for the fully coherent walking $ω$-equivalence. Further, appropriate truncations of it give models for the fully coherent walking $n$-equivalence for each $n\geq1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_14509 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A model for the coherent walking $ω$-equivalence Hadzihasanovic, Amar Loubaton, Félix Ozornova, Viktoriya Rovelli, Martina Category Theory Algebraic Topology 18N30, 18N20, 18N40 We prove that a certain $ω$-category, which was constructed in previous work by the third and fourth author, is a model for the fully coherent walking $ω$-equivalence. Further, appropriate truncations of it give models for the fully coherent walking $n$-equivalence for each $n\geq1$. |
| title | A model for the coherent walking $ω$-equivalence |
| topic | Category Theory Algebraic Topology 18N30, 18N20, 18N40 |
| url | https://arxiv.org/abs/2404.14509 |