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Groups, Geometry, and Dynamics
Article . 2025 . Peer-reviewed
Data sources: Crossref
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arXiv.org e-Print Archive
Preprint . 2023
Data sources: arXiv.org e-Print Archive
https://dx.doi.org/10.48550/ar...
Article . 2023
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Topological rigidity of the dynamic asymptotic dimension

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 27 Jan 2025Embargo end date: 01 Jan 2023Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Groups, Geometry, and Dynamics (issn: 1661-7207, eissn: 1661-7215, Copyright policy )
Authors: Samantha Pilgrim;

doi: 10.4171/ggd/855 , 10.48550/arxiv.2309.08328

arXiv: 2309.08328

Topological rigidity of the dynamic asymptotic dimension

Abstract

We show for a free action of a countable group \Gamma on a finite-dimensional, compact metric space by homeomorphisms that the dynamic asymptotic dimension is either infinite or coincides with the asymptotic dimension of \Gamma .

Related Organizations
Keywords

FOS: Mathematics, 37B99, 46L35, Dynamical Systems (math.DS), Mathematics - Dynamical Systems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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