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arXiv:2309.08328 [math.DS]AbstractReferencesReviewsResources

Topological Rigidity of the Dynamic Asymptotic Dimension

Samantha Pilgrim

Published 2023-09-15Version 1

We show that when $X$ is compact and totally disconnected or a finite union of compact manifolds (possibly with boundary), that the dynamic asymptotic dimension of a free action of a countable group $\Gamma$ on $X$ by homeomorphisms is either infinite or the asymptotic dimension of $\Gamma$.

Comments: 9 pages, comments welcome
Categories: math.DS
Subjects: 37B99, 46L35
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