Homeomorphism groups of 2‐manifolds with the virtual Rokhlin property-Reference-Cited by-同舟云学术

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Homeomorphism groups of 2‐manifolds with the virtual Rokhlin property

Published:2024-07-29 Issue:3 Volume:17 Page:
ISSN:1753-8416
Container-title:Journal of Topology
language:en
Short-container-title:Journal of Topology

Author:

Lanier Justin¹^ORCID,Vlamis Nicholas G.²³^ORCID

Affiliation:

1. School of Mathematics and Statistics The University of Sydney Sydney Australia

2. Department of Mathematics CUNY Graduate Center New York New York USA

3. Department of Mathematics CUNY Queens College Flushing New York USA

Abstract

AbstractWe introduce and motivate the definition of the virtual Rokhlin property for topological groups. We then classify the 2‐manifolds whose homeomorphism groups have the virtual Rokhlin property. We also establish the analogous result for mapping class groups of 2‐manifolds.

Funder

National Science Foundation

Publisher

Wiley

Link

https://londmathsoc.onlinelibrary.wiley.com/doi/am-pdf/10.1112/topo.12354

Reference22 articles.

1. Isometry groups of infinite-genus hyperbolic surfaces

2. The first integral cohomology of pure mapping class groups;Aramayona J.;Int. Math. Res. Not.,2020

3. Rotation sets and actions on curves;Bowden J.;Adv. Math.,2022

4. Metric Spaces of Non-Positive Curvature

5. Conjugation-invariant norms on groups of geometric origin

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