Results 1 to 10 of about 14,246,337 (79)
A note on compact-like semitopological groups [PDF]
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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Hereditary Coreflective Subcategories in Certain Categories of Abelian Semitopological Groups [PDF]
Axioms, 2019 Let A be an epireflective subcategory of the category of all semitopological groups that consists only of abelian groups. We describe maximal hereditary coreflective subcategories of A that are not bicoreflective in A in the case that ...
Veronika Pitrová
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Karpatsʹkì Matematičnì Publìkacìï, 2022 A corrigendum to "A note on compact-like semitopological groups" [Carpathian Math. Publ.
Liang-Xue Peng
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Set-set topologies and semitopological groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 Summary: Let G be a group with binary operation. Let T be a topology for G such that for all \(g\in G\) the maps, \(n_ g: G\to G\) and \({}_ gm: G\to G\), defined by \(m_ g(f)=f\cdot g\) and \({}_ gm(f)=g\cdot f\), respectively, are continuous. Then (G,T) is called a semitopological group.
Kathryn F. Porter
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Arnautov's problems on semitopological isomorphisms [PDF]
Applied General Topology, 2009 Semitopological isomorphisms of topological groups were introduced by Arnautov [2], who posed several questions related to compositions of semitopological isomorphisms and about the groups G (we call them Arnautov groups) such that for every group ...
Dikran Dikranjan, Anna Giordano Bruno
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Complete ω-balancedness in semitopological groups
Topology and its Applications, 2018 A semitopological group is a group with a topology under which the operation is separately continuous. The authors characterize when such a group embeds into a product of strongly metrizable semitopological groups. The characterization reads: if and only if the group is completely \(\omega\)-balanced and satisfies \(Ir(G)\leq\omega\).
Juárez-Anguiano, Hugo, Sánchez, Iván
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Semitopological $\delta$-groups
Hacettepe Journal of Mathematics and Statistics, 2023 The aim of this paper is to introduce semitopological $\delta$-group and topological $\delta$-group with the concept of $\delta$-group which arise from approximately algebraic structures. Furthermore, it is shown that product space determined with $\delta$-topological subspaces is a $\delta$-topological space.
Ebubekir İNAN, Mustafa UÇKUN
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Actions of Semitopological Groups [PDF]
Canadian Mathematical Bulletin, 2019 AbstractWe investigate continuous transitive actions of semitopological groups on spaces, as well as separately continuous transitive actions of topological groups.
Van Mill, J., Valov, V.M.
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Remainders of Semitopological Groups or Paratopological Groups [PDF]
Ukrainian Mathematical Journal, 2014 All spaces are assumed to be Tychonoff. The authors prove results about remainders of Hausdorff compactifications of paratopological or semitopological groups. The following results are typical: If a nonlocally compact semitopological group \(G\) has a Hausdorff compactification \(bG\) such that the remainder \(bG{\setminus} G\) is locally metrizable ...
Lin, Fucai, Liu, Chuan, Xie, Li-Hong
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Subgroups of products of para τ-discrete semitopological groups
Filomat, 2023 In this article we define a new class of topological spaces called para ?-discrete spaces and give an internal characterization of a subgroup of product of para ?-discrete semitopological groups having character less than or equal to ?. Also we give a partial solution of an open problem posed by S?nchez [5, Problem 3.8].
Vikesh Kumar, Brij Tyagi
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