Locally Compact Full Homeomorphism Groups are Zero-Dimensional

DOI10.2307/2038149zbMath0219.57029OpenAlexW4252476502MaRDI QIDQ5624422

James E.Keesling

Publication date: 1971

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2038149

Mathematics Subject Classification ID

Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

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Regular blocks and Conley index of isolated invariant continua in surfaces ⋮ Pointed shape and global attractors for metrizable spaces ⋮ Some aspects of dimension theory for topological groups ⋮ Compact homeomorphism groups are profinite ⋮ Report on the open problems session ⋮ On uniquely homogeneous spaces, I ⋮ Intrinsic Shape Property of Global Attractors in Metrizable Spaces ⋮ Shape-invariant neighborhoods of nonsaddle sets ⋮ Using Flows to Construct Hilbert Space Factors of Function Spaces ⋮ Localization of the chain recurrent set using shape theory and symbolical dynamics ⋮ An almost uniquely homogeneous subgroup of \({\mathbb{R}}^ n\) ⋮ Intrinsic shape of the chain recurrent set

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