具有虚拟 Rokhlin 属性的 2-manifolds 的同构群

IF 0.8 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2024-07-29 DOI:10.1112/topo.12354

Justin Lanier, Nicholas G. Vlamis

引用次数: 0

摘要

我们介绍了拓扑群的虚拟 Rokhlin 属性的定义，并对其进行了激励。然后，我们对其同构群具有虚拟罗克林性质的 2-manifolds 进行分类。我们还为 2-manifolds的映射类群建立了类似的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homeomorphism groups of 2-manifolds with the virtual Rokhlin property

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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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.