Topological rigidity of the dynamic asymptotic dimension

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 .

Authors

Samantha Pilgrim (ORCID: https://orcid.org/0000-0001-5859-1737)

Institutions

University of Glasgow (GB)

Publication Details

Journal: Groups Geometry and Dynamics
Published: 2025-01-27
DOI: https://doi.org/10.4171/ggd/855
Citations: 1
Primary Topic: Mathematical Dynamics and Fractals
Type: article
Field-Weighted Citation Impact: 3.69

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

Topological rigidity of the dynamic asymptotic dimension

Samantha Pilgrim

Jan 27, 2025

1 citations

Groups Geometry and Dynamics

Mathematical Dynamics and Fractals

3.69

article

Topological rigidity of the dynamic asymptotic dimension

Samantha Pilgrim

January 27, 2025article en

1 citations

Abstract

Groups Geometry and Dynamics

University of Glasgow (GB)

Openalex Percentile: Top 14%

Mathematical Dynamics and Fractals

3.69

DOI Open Access PDF OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Topological rigidity of the dynamic asymptotic dimension — Samantha Pilgrim · Groups Geometry and Dynamics (2025) | TGRS Research Map | TGRS