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arXiv · 2512.16500

Homotopy similarity of maps. Strong similarity

S. S. Podkorytov
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Abstract

Given pointed cellular spaces $X$ and $Y$, $X$ compact, and an integer $r\ge0$, we define a relation $\overset r\approx$ on $[X,Y]$ and argue for the conjecture that it always coincides with the $r$-similarity $\overset r\sim$.

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S. S. Podkorytov. 2025-12-18. Homotopy similarity of maps. Strong similarity. https://arxiv.org/abs/2512.16500

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