Simply \(sm\)-factorizable (para)topological groups and their completions

DOI10.1007/s00605-020-01408-5zbMath1473.22003arXiv1908.08627OpenAlexW3015195364MaRDI QIDQ2197723

Li-Hong Xie, Mikhail G. Tkachenko

Publication date: 1 September 2020

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08627

zbMATH Keywords

Dieudonné completionrealcompactificationLindelöf \(\Sigma\)-space\(\mathbb{R}\)-factorizable groupsimply \(sm\)-factorizable

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Real-valued functions in general topology (54C30) Other topological algebraic systems and their representations (22A30)

Related Items (3)

Simply \textit{sm}-factorizable (para)topological groups and their quotients ⋮ Paratopological groups with countable strong Hausdorff number ⋮ Weak completions of paratopological groups

Cites Work

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• Axioms of separation in semitopological groups and related functors
• The free topological group on the Sorgenfrey line is not \(\mathbb R\)-factorizable
• Factorization properties of paratopological groups
• Dieudonné completion and \(PT\)-groups
• Applications of the reflection functors in paratopological groups
• \(C\)-extensions of topological groups
• Generalization of the Comfort-Ross theorem. I
• Topological groups and related structures
• Embedding paratopological groups into topological products
• Paratopological groups. II
• \(\mathbb{R}\)-factorizable, simply \(sm\)-factorizable paratopological groups and their quotients
• Embeddings and contractions of topological groups
• Bounded sets in spaces and topological groups
• \(\mathbb R\)-factorizable paratopological groups
• A note on bounded sets and \(C\)-compact sets in paratopological groups
• Countably compact paratopological groups
• Completions of paratopological groups and bounded sets
• Totally Lindelöf and totally \(\omega \)-narrow paratopological groups
• Pseudocompactness and uniform continuity in topological groups
• Each regular paratopological group is completely regular
• Pseudocompact Topological Groups
• Cardinal invariants of paratopological groups

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