Homotopy Theory for Ordered Simplicial Complexes
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913130175528960 |
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| author | Wei, Melissa |
| author_facet | Wei, Melissa |
| contents | We construct a model structure on the category of ordered simplicial complexes, Quillen equivalent to the standard model structure on simplicial sets. This shows that simplicial complexes, which are fully combinatorial in nature, provide a new model for the homotopy theory of spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homotopy Theory for Ordered Simplicial Complexes Wei, Melissa Algebraic Topology We construct a model structure on the category of ordered simplicial complexes, Quillen equivalent to the standard model structure on simplicial sets. This shows that simplicial complexes, which are fully combinatorial in nature, provide a new model for the homotopy theory of spaces. |
| title | Homotopy Theory for Ordered Simplicial Complexes |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2509.22968 |