Homeomorphism groups of 2-manifolds with the virtual Rokhlin property

Justin Lanier; Nicholas G. Vlamis

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arXiv · 2308.13138

Homeomorphism groups of 2-manifolds with the virtual Rokhlin property

Justin Lanier·Nicholas G. Vlamis

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Abstract

We 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.

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Justin Lanier, Nicholas G. Vlamis. 2024-06-23. Homeomorphism groups of 2-manifolds with the virtual Rokhlin property. https://arxiv.org/abs/2308.13138

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