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arXiv · 2110.08929

Universal spaces for asymptotic dimension zero

Yuankui Ma·Jeremy Siegert·Jerzy Dydak
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Abstract

Dranishnikov and Zarichnyi constructed a universal space in the coarse category of spaces of bounded geometry of asymptotic dimension $0$. In this paper we construct universal spaces in the coarse category of separable (respectively, proper) metric spaces of asymptotic dimension $0$. Our methods provide an alternative proof of Dranishnikov-Zarichnyi result.

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Yuankui Ma, Jeremy Siegert, Jerzy Dydak. 2021-11-03. Universal spaces for asymptotic dimension zero. https://arxiv.org/abs/2110.08929

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