On the Reconstruction of Topological Spaces from Their Groups of Homeomorphisms

DOI10.2307/2001000zbMath0677.54029OpenAlexW4244410648MaRDI QIDQ3833255

Matatyahu Rubin

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001000

zbMATH Keywords

locally compact Hausdorff spacedifferentiable manifoldPL-manifoldBoolean algebra of regular open subsets0-dimensional Hausdorff spaceEuclidean manifold with boundaryfaithful class of topological spacesfaithful regular open setsfaithfulness of the class of Banach manifoldsisomorphic homeomorphism groupslocally finite-dimensional polyhedron in the metric or coherent topologyproduct of compact connected Euclidean manifoldssubgroups of homeomorphism groups

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Other groups related to topology or analysis (20F38) Topological manifolds (57N99)

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