On the cardinality of countable dense homogeneous spaces

DOI10.1090/S0002-9939-2013-11649-7zbMath1315.54004OpenAlexW2087216849MaRDI QIDQ2846931

Jan van Mill, Alexander V. Arhangel'skii

Publication date: 4 September 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11649-7

zbMATH Keywords

continuum hypothesiscardinalitycountable dense homogeneous

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Separability of topological spaces (54D65)

Related Items (6)

Open problems on countable dense homogeneity ⋮ Countable dense homogeneity and the double arrow space ⋮ Autohomeomorphisms of the finite powers of the double arrow ⋮ On CDH fuzzy spaces ⋮ A survey of cardinality bounds on homogeneous topological spaces ⋮ A countable dense homogeneous topological vector space is a Baire space

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• Some results on CDH spaces. I
• A compact L-space under CH
• Homogeneity of infinite products of manifolds with boundary
• Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets
• Countable dense homogeneous spaces
• A countable dense homogeneous set of reals of size \aleph₁

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