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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.16948 |
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| _version_ | 1866918367930089472 |
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| author | Gao, Jing-Wen Yang, Xiao-Song |
| author_facet | Gao, Jing-Wen Yang, Xiao-Song |
| contents | This paper presents a discrete homotopy theory and a discrete homology theory for finite posets. In particular, the discrete and classical homotopy groups of finite posets are always isomorphic.
Moreover, this discrete homology theory is related to the discrete homotopy theory through a discrete analogue of the Hurewicz map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_16948 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discrete homotopy and homology theories for finite posets Gao, Jing-Wen Yang, Xiao-Song Combinatorics This paper presents a discrete homotopy theory and a discrete homology theory for finite posets. In particular, the discrete and classical homotopy groups of finite posets are always isomorphic. Moreover, this discrete homology theory is related to the discrete homotopy theory through a discrete analogue of the Hurewicz map. |
| title | Discrete homotopy and homology theories for finite posets |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2410.16948 |