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Subgroups of products of certain paratopological (semitopological) groups

Topology and its Applications, 2018
The authors investigate some properties of subgroups of products of certain paratopological (semitopological) groups. The following main results are proved: (1)\, Let \(G\) be an \(\omega\)-balanced regular paratopological group with \(Ir(G)\leq \omega\). Let \(e\) be the identity of \(G\). If for each \(U \in \mathscr{N}(e)\) there exist some \(V \in \
Peng, Liang-Xue, Guo, Ming-Yue
openaire   +2 more sources

Paratopological and Semitopological Groups Versus Topological Groups

2013
We present a survey on paratopological and semitopological groups relating these classes with the class of topological groups. A special attention is given to compactness-type properties in paratopological and semitopological groups which often imply automatic continuity of inversion or multiplication (or both) in these classes of objects.
M. Tkachenko
openaire   +2 more sources

Some variants of $\omega$-balancedness in semitopological groups

Bulletin of the Belgian Mathematical Society - Simon Stevin
Vikesh Kumar, Brij Kishore Tyagi
openaire   +2 more sources

Subgroups of products of semitopological groups with a strong development

Quaestiones Mathematicae. Journal of the South African Mathematical Society, 2023
Using the notion of ωs-balanced semitopological group and some cardinal invariants, Kumar and Tyagi [7] characterize when a regular (T1, Hausdorff) semitopological group admits a homeomorphic embedding as a subgroup into a product of regular (T1 ...
I. Sánchez
semanticscholar   +1 more source

Subgroups of products of Nagata semitopological groups and related results

Quaestiones Mathematicae. Journal of the South African Mathematical Society
In this article, we introduce notions which are called property (c*) and property (M3*) for semitopological groups. We show that if G is a regular semitopological group with a q-point, property (c*) and Sm(G) ≤ ω, then G is topologically isomorphic to a ...
Liang-Xue Peng
semanticscholar   +1 more source

Right Topological and Semitopological Groups

2008
It frequently happens in Mathematics that the study of certain rich structures (like Hilbert or Banach spaces, or bounded linear operators acting on these spaces) requires a detailed knowledge of some weaker structures (locally convex linear topological spaces or, respectively, topological semigroups).
Alexander Arhangel’skii   +1 more
openaire   +1 more source

Cancer statistics for adolescents and young adults, 2020

Ca-A Cancer Journal for Clinicians, 2020
Kimberly D Miller   +2 more
exaly  

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