Nonhomogeneity of remainders

DOI10.1090/proc/13172zbMath1419.54028OpenAlexW2313081507MaRDI QIDQ2814424

Jan van Mill, Alexander V. Arhangel'skii

Publication date: 22 June 2016

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

Full work available at URL: https://semanticscholar.org/paper/ee9f647e7db2d9e1cd3126b4b7a6d18bb244e107

zbMATH Keywords

compactificationtopological groupremainderhomogeneous spaceMartin's axiomcontinuum hypothesisfirst-countable

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Remainders in general topology (54D40)

Related Items (1)

Remainders of products, topological groups and \(C_p\)-spaces

Cites Work

• Homogeneity problems in the theory of Cech compactifications
• Topological groups and related structures
• Some results on CDH spaces. I
• Proper forcing
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• On the character and \(\pi\)-weight of homogeneous compacta.
• Pseudocompactness and uniform continuity in topological groups
• A Note on Complete Boolean Algebras
• A study of remainders of topological groups
• Why certain Čech-Stone remainders are not homogeneous
• A perfect map need not preserve a Gδ-diagonal
• Nonhomogeneity of Products of Preimages and π-Weight
• First countable and countable spaces all compactifications of which contain βN
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