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arXiv · 2203.03274

Mardesic factorization theorem for asymptotic dimension

Jerzy Dydak·Michael Levin·Jeremy Siegert
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Abstract

The main goal of this note is to prove a coarse analogue of Factorization Theorems in Dimension Theory: Let $f: X \rightarrow Y$ be a coarsely continuous map. Then $f$ factors through coarsely continuous maps $g : X \rightarrow Z$ and $h : Z \rightarrow Y$ with asymptotic dimension of $Z$ at most asymptotic dimension of $X$ and the weight of $Z$ at most the weight of $Y$.

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Jerzy Dydak, Michael Levin, Jeremy Siegert. 2022-03-07. Mardesic factorization theorem for asymptotic dimension. https://arxiv.org/abs/2203.03274

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