Results 41 to 50 of about 346 (87)

Equivariant compactifications of topological and bitopological transformation groups [PDF]

, 2003
Includes bibliographical ...
Turton, James
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On H-closed paratopological groups

, 2010
A Hausdorff paratopological group G is H-closed if G is closed in each Hausdorff paratopological group containing G. We obtain criteria of H-closedness for some classes of abelian paratopological groups. In particular, for topological groups.
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Mapping i2 on the free paratopological groups

Publications de l'Institut Mathematique, 2017
Let FP(X) be the free paratopological group over a topological space X. For each nonnegative integer n ? N, denote by FPn(X) the subset of FP(X) consisting of all words of reduced length at most n, and in by the natural mapping from (X ? X?1 ? {e})n to FPn(X). We prove that the natural mapping i2:(X ? X?1 d ?{e})2 ?
Lin, Fucai, Liu, Chuan
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Bornoligies, Topological Games and Function Spaces [PDF]

, 2014
In this paper, we continue the study of function spaces equipped with topologies of (strong) uniform convergence on bornologies initiated by Beer and Levi \cite{beer-levi:09}.
Artur, H. Tomita, Jiling Cao
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Local minimalities in paratopological groups

Topology and its Applications, 2014
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The extensions of paratopological groups

Topology and its Applications, 2015
A \textit{paratopological} group is a pair \((G,\mathcal T)\) consisting of a group \(G\) and a topology \(\mathcal T\) on it such that the multiplication is continuous (in other words, \((G,\mathcal T)\) is a topological semigroup). The authors study the following general problem: ``Let \(\mathcal P\) be a (topological, algebraic, or a mixed nature ...
Xie, Li-Hong, Lin, Shou
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Dense subgroups of paratopological groups

Topology and its Applications, 2015
A paratopological group (semitopological group) is a group with a topology such that the multiplication operation is jointly (separately) continuous. In this paper, the author focus on some properties in semitopological groups which are preserved or determined by dense subgroups. Many propositions for this kind of properties are given. For example, (1)
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Productivity numbers in paratopological groups

Topology and its Applications, 2015
A \textit{paratopological group} \(G\) is a group endowed with a topology on \(G\) such that the mapping \((x, y) \mapsto xy\) of \(G\times G\) into \(G\) is continuous. If in addition, the mapping \(x \mapsto x^{-1}\) of \(G\) into \(G\) is continuous then \(G\) is a \textit{topological group}. In this article, the authors investigate the preservation
Batíková, Bára, Hušek, Miroslav
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Metrizability of paratopological (semitopological) groups

Topology and its Applications, 2012
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The regularity of quotient paratopological groups

Matematychni Studii, 2017
Let $H$ be a closed subgroup of a regular abelian paratopological group $G$. The group reflexion $G^\flat$ of $G$ is the group $G$ endowed with the strongest group topology, weaker that the original topology of $G$. We show that the quotient $G/H$ is Hausdorff (and regular) if $H$ is closed (and locally compact) in $G^\flat$.
Banakh, T., Ravsky, A.
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