Some concepts of topology and questions in topological algebra

DOI10.2989/16073606.2023.2247726zbMath1529.54015OpenAlexW4388140519MaRDI QIDQ6087845

Alexander V. Arhangel'skii

Publication date: 16 November 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2023.2247726

zbMATH Keywords

semitopological groupremainderhomogeneous spacecountably compact\(\sigma\)-compactLindelöf \(p\)-space\(p\)-space\(s\)-spacegroup number

Mathematics Subject Classification ID

(p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Topological groups (topological aspects) (54H11) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Remainders in general topology (54D40)

Cites Work

• Some generalizations of the concept of a \(p\)-space
• Paratopological and semitopological groups versus topological groups
• The Ellis theorem and continuity in groups
• Some properties of compactifications
• More on remainders close to metrizable spaces
• On topological groups with a first-countable remainder. II.
• Topological groups and related structures
• Remainders in compactifications and generalized metrizability properties
• Splitting Tychonoff cubes into homeomorphic and homogeneous parts
• Covering Tychonoff cubes by topological groups
• Remainders of metrizable spaces and a generalization of Lindelöf Σ-spaces
• Every Cech-analytic Baire semitopological group is a topological group
• Σ-spaces
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