Quillen-McCord theorem for persistence finite posets
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910211323723776 |
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| author | Guzeev, Vitalii Tanaka, Kohei |
| author_facet | Guzeev, Vitalii Tanaka, Kohei |
| contents | In this paper, we establish a persistence version of the Quillen-McCord theorem for persistence finite posets. Given a map $f \colon P \rightarrow Q$ between persistence finite posets $P$ and $Q$ with weakly $\varepsilon$-contractible homotopy fibers, we provide an upper bound for the homotopy commutative interleaving distance between $P$ and $Q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11615 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quillen-McCord theorem for persistence finite posets Guzeev, Vitalii Tanaka, Kohei Algebraic Topology Category Theory In this paper, we establish a persistence version of the Quillen-McCord theorem for persistence finite posets. Given a map $f \colon P \rightarrow Q$ between persistence finite posets $P$ and $Q$ with weakly $\varepsilon$-contractible homotopy fibers, we provide an upper bound for the homotopy commutative interleaving distance between $P$ and $Q$. |
| title | Quillen-McCord theorem for persistence finite posets |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2605.11615 |