Long colimits of topological groups IV: Spaces with socks

Rafael Dahmen; Gábor Lukács

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arXiv · 2109.02092

Long colimits of topological groups IV: Spaces with socks

Rafael Dahmen·Gábor Lukács

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Abstract

The group of compactly supported homeomorphisms on a Tychonoff space can be topologized in a number of ways, including as a colimit of homeomorphism groups with a given compact support, or as a subgroup of the homeomorphism group of its Stone-Čech compactification. A space is said to have the Compactly Supported Homeomorphism Property (CSHP) if these two topologies coincide. The authors develop techniques for showing that products of certain spaces with CSHP, such as the Closed Long Ray and the Long Line, have CSHP again.

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BibTeX RIS

Rafael Dahmen, Gábor Lukács. 2021-09-05. Long colimits of topological groups IV: Spaces with socks. https://arxiv.org/abs/2109.02092

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