Results 61 to 70 of about 271 (88)
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Countably Compact Paratopological Groups
Semigroup Forum, 2007By means of the theory of bispaces we show that a countably compact T0 paratopological group (G, τ) is a topological group if and only if (G, τ ∨ τ-1) is ω-bounded (here τ-1 is the conjugate topology of τ). Our approach is premised on the fact that every paratopological countably compact paratopological group is a Baire space and on the notion of a 2 ...
O.T. Alas, M. Sanchis
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Free paratopological groups and free products of paratopological groups
Journal of Mathematical Sciences, 2011We study the topological and algebraic properties of free paratopological groups and free products of paratopological groups.
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c-compactness in locally compact groups and paratopological groups
Acta Mathematica Hungarica, 2017A \textit{paratopological group} is a pair \((G,\mathbb T)\) where \(G\) is a group and \(\mathbb T\) a topology on it such that the multiplication is continuous, see \textit{N. Bourbaki} [General Topology, Part 1, Addison-Wesley Publ. Comp. (1966; Zbl 0301.54001)]. In the paper Hausdorff \textit{c-compact} paratopological groups are studied.
Juárez-Anguiano, H., Sánchez, I.
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Continuity of the Inverse in Pseudocompact Paratopological Groups
Algebra Colloquium, 2007By a celebrated theorem of Numakura, a Hausdorff compact topological semigroup with two-sided cancellation is a group which has inverse continuous, i.e., it is a topological group. We improve Numakura's Theorem in the realm of non-Hausdorff topological semigroups.
Romaguera, S., Sanchis, M.
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SUBMONOIDS OF ABELIAN PARATOPOLOGICAL GROUPS
International Science and Technology JournalOne of the important subclasses of abelian paratopological groups is called the free abelian paratopological group on a topological space. It was introduced in 2003 by Remaguara, Sanchis, and Tkachenko. In this paper, we introduce a single submonoid of the free abelian paratopological group on Alexandroff space, then we prove that this submonoid is a ...
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Paratopological and Semitopological Groups Versus Topological Groups
2013We present a survey on paratopological and semitopological groups relating these classes with the class of topological groups. A special attention is given to compactness-type properties in paratopological and semitopological groups which often imply automatic continuity of inversion or multiplication (or both) in these classes of objects.
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The evolving landscape of salivary gland tumors
Ca-A Cancer Journal for Clinicians, 2023Conor Steuer
exaly
Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
exaly
Cancer statistics for the US Hispanic/Latino population, 2021
Ca-A Cancer Journal for Clinicians, 2021Kimberly D Miller +2 more
exaly