Results 1 to 10 of about 555 (71)
On locally compact semitopological O-bisimple inverse ω-semigroups
Topological Algebra and its Applications, 2018 We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
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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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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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The group of characters of a pseudocompact locally compact semitopological semigroup
Applied General TopologyWe prove that each semitopological semigroup has a reflection in the class of abelian cancellative semitopological semigroups. Then we use this reflection to prove that the group of characters of a locally compact pseudocompact topological semigroup with
Julio César Hernández Arzusa
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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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On a topological simple Warne extension of a semigroup [PDF]
, 2012 In the paper we introduce topological $\mathbb{Z}$-Bruck-Reilly and topological $\mathbb{Z}$-Bruck extensions of (semi)topological monoids which are generalizations of topological Bruck-Reilly and topological Bruck extensions of (semi)topological monoids
Fihel, Iryna +2 more
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Arnautov's problems on semitopological isomorphisms
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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Algebras of functions on semitopological left-groups [PDF]
Transactions of the American Mathematical Society, 1976 We consider various algebras of functions on a semitopological left-group S = X × G S = X \times G , the direct product of a left-zero semigroup X and a group G. In §1 we examine various analogues to the theorem of Eberlein that a weakly almost periodic function on a locally compact abelian group is ...
Berglund, John F., Milnes, Paul
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