Results 21 to 30 of about 346 (87)
Lindelöf Σ-Spaces and R-Factorizable Paratopological Groups
Axioms, 2015 We prove that if a paratopological group G is a continuous image of an arbitrary product of regular Lindelöf Σ -spaces, then it is R-factorizable and has countable cellularity.
Mikhail Tkachenko
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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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A note on compact-like semitopological groups
Karpatsʹkì Matematičnì Publìkacìï, 2019 We present a few results related to separation axioms and automatic continuity of operations in compact-like semitopological groups. In particular, is provided a semiregular semitopological group $G$ which is not $T_3$.
A. Ravsky
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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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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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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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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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On the topology of free paratopological groups
, 2012 The result often known as Joiner's lemma is fundamental in understanding the topology of the free topological group $F(X)$ on a Tychonoff space$X$. In this paper, an analogue of Joiner's lemma for the free paratopological group $\FP(X)$ on a $T_1$ space $
Elfard, Ali Sayed, Nickolas, Peter
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