Quillen-McCord theorem for persistence finite posets

Vitalii Guzeev; Kohei Tanaka

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arXiv · 2605.11615

Quillen-McCord theorem for persistence finite posets

Vitalii Guzeev·Kohei Tanaka

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Abstract

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 $Q$.

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BibTeX RIS

Vitalii Guzeev, Kohei Tanaka. 2026-05-12. Quillen-McCord theorem for persistence finite posets. https://arxiv.org/abs/2605.11615

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