Homeomorphism groups of 2-manifolds with the virtual Rokhlin property
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910499174612992 |
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| author | Lanier, Justin Vlamis, Nicholas G. |
| author_facet | Lanier, Justin Vlamis, Nicholas G. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13138 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Homeomorphism groups of 2-manifolds with the virtual Rokhlin property Lanier, Justin Vlamis, Nicholas G. Geometric Topology Dynamical Systems Group Theory 57K20, 54H11, 37B05, 20E45 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. |
| title | Homeomorphism groups of 2-manifolds with the virtual Rokhlin property |
| topic | Geometric Topology Dynamical Systems Group Theory 57K20, 54H11, 37B05, 20E45 |
| url | https://arxiv.org/abs/2308.13138 |