Embedding paratopological groups into topological products

DOI10.1016/j.topol.2008.12.032zbMath1166.54016OpenAlexW2027558710MaRDI QIDQ1013817

Mikhail G. Tkachenko

Publication date: 23 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.12.032

zbMATH Keywords

Hausdorff numberindex of regularityprojectively first-countableparatopological groupprojectively second-countable

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Embedding (54C25)

Related Items (38)

\(C\)-compact and \(r\)-pseudocompact subsets of paratopological groups ⋮ Simply \textit{sm}-factorizable (para)topological groups and their quotients ⋮ Paratopological groups with countable strong Hausdorff number ⋮ Projectively first-countable semitopological groups ⋮ Subgroups of products of strongly metrizable semitopological groups ⋮ Submetrizability of some classes of coset spaces ⋮ Subgroups of products of certain paratopological (semitopological) groups ⋮ On strongly \(\omega\)-balanced topological groups ⋮ Completions of paratopological groups and bounded sets ⋮ Weak completions of paratopological groups ⋮ Cardinal invariants and \(\mathbb R\)-factorizability in paratopological groups ⋮ Factorization properties of paratopological groups ⋮ Subgroups of products of paratopological groups ⋮ Projectively first-countable semitopological groups with certain \(D\)-properties ⋮ On ω s-balanced semitopological groups ⋮ Lindelöf \(\Sigma\)-spaces and \(\mathbb R\)-factorizable paratopological groups ⋮ On \(bM\)-\(\omega\)-balancedness and \(\mathcal{M}\)-factorizability of para(semi)topological groups ⋮ On some kinds of completeness and semitopological groups with property \((w \ast )\) ⋮ Simply \(sm\)-factorizable (para)topological groups and their completions ⋮ Paratopological groups with a \(G_\delta\)-diagonal of infinite rank ⋮ Submetrizability in semitopological groups ⋮ A note on pseudobounded paratopological groups ⋮ Condensations of paratopological groups ⋮ \(\mathbb{R}\)-factorizable, simply \(sm\)-factorizable paratopological groups and their quotients ⋮ \(p\)-boundedness in paratopological groups ⋮ Suitable sets for paratopological groups ⋮ Cardinal invariants of paratopological groups ⋮ Subgroups of products of metrizable semitopological groups ⋮ Cardinal invariants in locally \(T_i\)-minimal paratopological groups ⋮ Quasi-uniformities and quotients of paratopological groups ⋮ Complete \(\omega\)-balancedness in semitopological groups ⋮ The continuous \(d\)-open homomorphism images and subgroups of \(\mathbb{R} \)-factorizable paratopological groups ⋮ On some kinds of \(\omega \)-balancedness in semitopological groups ⋮ A note on strictly \({\omega}\)-balanced topological groups ⋮ A note on bounded sets and \(C\)-compact sets in paratopological groups ⋮ On (para)topological groups with a countably \((s\)-)complete sieve ⋮ Products of bounded subsets of paratopological groups ⋮ A note on semitopological groups and paratopological groups

Cites Work

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• Paratopological and semitopological groups versus topological groups
• Condensations of universal topological algebras that preserve continuity of operations and decrease weight
• Topological groups and related structures
• Introduction to topological groups
• Totally Lindelöf and totally \(\omega \)-narrow paratopological groups

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