Results 21 to 30 of about 14,246,372 (112)
THE BAIRE PROPERTY IN THE REMAINDERS OF SEMITOPOLOGICAL GROUPS
Bulletin of the Australian Mathematical Society, 2013 AbstractIt is proved that every remainder of a nonlocally compact semitopological group $G$ is a Baire space if and only if $G$ is not Čech-complete, which improves a dichotomy theorem of topological groups by Arhangel’skiǐ [‘The Baire property in remainders of topological groups and other results’, Comment. Math. Univ. Carolin. 50(2) (2009), 273–279],
Xie, Li-Hong, Lin, Shou
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A problem of M. Tkachenko on semitopological groups
Topology and its Applications, 2014 A class \(\mathcal C\) of spaces is a \textit{PS-class} if it contains arbitrary products of its elements, is hereditary with respect to taking subspaces, and contains a one-point space. \textit{M. Tkachenko} in [Topology Appl. 161, 364--376 (2014; Zbl 1287.54047)] defined a \textit{\(\mathcal C\)-reflection} of a semitopological group \(G\), as ...
Lin, Fucai, Zhang, Kexiu
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Axioms of separation in semitopological groups and related functors
Topology and its Applications, 2014 The author considers the category of semitopological groups, that is, groups with a topology in which the left and right translations are continuous; the morphisms of this category are the continuous homomorphisms. No separation assumptions on the topology of the groups are made.
M. Tkachenko
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Some three-space properties of semitopological and paratopological groups
Topology and its Applications, 2019 All spaces are assumed to be Hausdorff. Recall that a \textit{semitopological group} is a group with a topology such that the multiplication in the group is separately continuous, a \textit{quasitopological group} is a semitopological group with the additional property that the inverse mapping is continuous and a \textit{paratopological group} is a ...
Li, Piyu +3 more
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★-quasi-pseudometrics on algebraic structures
Applied General Topology, 2023 In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space.
Shi-Yao He, Ying-Ying Jin, Li-Hong Xie
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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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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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On feebly compact topologies on the semilattice $\exp_n\lambda$ [PDF]
, 2016 We study feebly compact topologies $\tau$ on the semilattice $\left(\exp_n\lambda,\cap\right)$ such that $\left(\exp_n\lambda,\tau\right)$ is a semitopological semilattice. All compact semilattice $T_1$-topologies on $\exp_n\lambda$ are described.
Gutik, Oleg, Sobol, Oleksandra
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Preduals of semigroup algebras [PDF]
, 2010 For a locally compact group G, the measure convolution algebra M(G) carries a natural coproduct. In previous work, we showed that the canonical predual C 0(G) of M(G) is the unique predual which makes both the product and the coproduct on M(G) weak ...
Daws, M., Pham, H-L., White, S.
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Beurling slow and regular variation
Transactions of the London Mathematical Society, Volume 1, Issue 1, Page 29-56, 2014., 2014 We give a new theory of Beurling regular variation (Part II). This includes the previously known theory of Beurling slow variation (Part I) to which we contribute by extending Bloom's theorem. Beurling slow variation arose in the classical theory of Karamata slow and regular variation. We show that the Beurling theory includes the Karamata theory.
N. H. Bingham, A. J. Ostaszewski
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