Results 21 to 30 of about 271 (88)
Feebly compact paratopological groups and real-valued functions [PDF]
, 2012 We present several examples of feebly compact Hausdorff paratopological groups (i.e., groups with continuous multiplication) which provide answers to a number of questions posed in the literature.
Sanchis López, Manuel +1 more
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Notes on Remainders of Paratopological Groups [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2014 The remainder of a Tychonoff topological space \(X\) is the subspace \(bX\setminus X\) of some compactification \(bX\) of \(X\). The authors study remainders of paratopological and of semitopological groups \(G\), in particular they relate properties of \(G\) with properties of the remainder \(bG\setminus G\).
Wang, Hanfeng, He, Wei
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Baire property in product spaces
Applied General Topology, 2015 We show that if a product space $\mathit\Pi$ has countable cellularity, then a dense subspace $X$ of $\mathit\Pi$ is Baire provided that all projections of $X$ to countable subproducts of $\mathit\Pi$ are Baire.
Constancio Hernández +2 more
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p-Boundedness in paratopological groups
Topology and its Applications, 2015 Let \(G\) be a paratopological group with neutral element \(e\). \(G\) is said to be \(\omega\)-admissible if for every sequence \(\{U_n:n\in\omega\}\) of open neighborhoods of \(e\) there there exists a subgroup \(H\subseteq\bigcap_{n\in\omega}U_n\) such that \(G/H\) is submetrizable. \(G\) is said to be \(\omega\)-balanced if for every neighborhood \(
Sánchez, Iván, Sanchis, Manuel
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The diagonal of a first countable paratopological group, submetrizability, and related results
Applied General Topology, 2007 We discuss some properties stronger than Gδ-diagonal. Among other things, we prove that any first countable paratopological group has a Gδ-diagonal of infinite rank and hence also a regular Gδ-diagonal.
A.V. Arhangelskii, Angelo Bella
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o-Tightness in paratopological groups
Topology and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xie, Li-Hong, Zhang, Hai-Chan
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On feebly compact paratopological groups [PDF]
Topology and its Applications, 2020 We obtain many results and solve some problems about feebly compact paratopological groups. We obtain necessary and sufficient conditions for such a group to be topological. One of them is the quasiregularity. We prove that each $2$-pseudocompact paratopological group is feebly compact and that each Hausdorff $ $-compact feebly compact paratopological
Taras Banakh, Alex Ravsky
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More on remainders close to metrizable spaces [PDF]
, 1950 This article is a natural continuation of [A.V. Arhangel'skii, Remainders in compactifications and generalized metrizability properties, Topology Appl. 150 (2005) 79–90]. As in [A.V.
Arhangel'skii, A.V.
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Variations of selective separability and tightness in function spaces with set open topologies [PDF]
, 2016 We study tightness properties and selective versions of separability in bitopological function spaces endowed with set-open topologies.Comment: 19 ...
Osipov, Alexander V., Özçağ, Selma
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Notes on paratopological groups
Topology and its Applications, 2013 In this paper, all topological spaces are assumed to be Hausdorff. A paratopological group is a group with a topology such that the product operation is continuous. The paper contains two results: {\parindent=6mm \begin{itemize}\item[(1)] Let \(G\) be a paratopological group, \(bG\) a Hausdorff compactification of \(G\).
Li, Piyu, Mou, Lei
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