Splitting Tychonoff cubes into homeomorphic and homogeneous parts

DOI10.1016/j.topol.2019.107018zbMath1441.54016OpenAlexW2996684707WikidataQ126580474 ScholiaQ126580474MaRDI QIDQ1985651

Jan van Mill, Alexander V. Arhangel'skii

Publication date: 7 April 2020

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://dare.uva.nl/personal/pure/en/publications/splitting-tychonoff-cubes-into-homeomorphic-and-homogeneous-parts(fca19cd1-add0-490b-849d-8a2e79dd16a6).html

zbMATH Keywords

topological groupCantor cuberemainderhomogeneous spaceČech-Stone compactificationpseudocompact spaceTychonoff cube

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Remainders in general topology (54D40)

Related Items (3)

Zero-dimensional \(\sigma \)-homogeneous spaces ⋮ Some concepts of topology and questions in topological algebra ⋮ Covering Tychonoff cubes by topological groups

Cites Work

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• A decomposition of \({\mathbb{R}}\) into two homeomorphic rigid parts
• Topological groups and related structures
• Sierpiński's technique and subsets of \(\mathbb{R}{}\)
• Decomposing topological spaces into two rigid homeomorphic subspaces
• Pseudocompactness and uniform continuity in topological groups
• Selective Sums of an Infinite Series
• Partitioning spaces into homeomorphic rigid parts

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