A compact space with a measure that knows which sets are homeomorphic

DOI10.1016/0001-8708(84)90049-5zbMath0535.43001OpenAlexW2045605051MaRDI QIDQ791089

Eric K. van Douwen

Publication date: 1984

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(84)90049-5

zbMATH Keywords

compactificationBorel measurecompact homogeneous spacehomeomorphichomeomorphic invariant measuresubgroup of circle group

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05)

Related Items

Bjarni Jónsson's contributions in algebra, A homogeneous space whose complement is rigid, Analytic groups and pushing small sets apart, In memoriam: Eric Karl van Douwen (1946-1987), Homogeneity and \(h\)-homogeneity, Zero-dimensional \(\sigma \)-homogeneous spaces, Topological finiteness, Bernstein sets, and topological rigidity, Some questions about Boolean algebras, Some notes concerning the homogeneity of Boolean algebras and Boolean spaces, On uniquely homogeneous spaces, I, Strong Local Homogeneity Does not Imply Countable Dense Homogeneity, Products and \(h\)-homogeneity, The topology of ultrafilters as subspaces of \(2^{\omega }\), A Topological Group Having no Homeomorphisms Other than Translations, Homogeneity and rigidity in Erdös spaces, Autohomeomorphisms of compact groups, Sierpiński's technique and subsets of \(\mathbb{R}{}\), Every zero-dimensional homogeneous space is strongly homogeneous under determinacy, On the character and \(\pi\)-weight of homogeneous compacta.

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