Results 31 to 40 of about 346 (87)
In this paper we search for conditions on a countably compact (pseudo-compact) topological semigroup under which: (i) each maximal subgroup $H(e)$ in $S$ is a (closed) topological subgroup in $S$; (ii) the Clifford part $H(S)$(i.e.
A. B. Paalman-de-Miranda +17 more
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Compactly Generated Stacks: A Cartesian Closed Theory of Topological Stacks
A convenient bicategory of topological stacks is constructed which is both complete and Cartesian closed. This bicategory, called the bicategory of compactly generated stacks, is the analogue of classical topological stacks, but for a different ...
Carchedi, David
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Categorically closed topological groups
Let $\mathcal C$ be a subcategory of the category of topologized semigroups and their partial continuous homomorphisms. An object $X$ of the category ${\mathcal C}$ is called ${\mathcal C}$-closed if for each morphism $f:X\to Y$ of the category ...
Banakh, Taras
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MP-equivalence of free paratopological groups
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Cai, Zhangyong, Lin, Shou
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Metrizability of Clifford topological semigroups
We prove that a topological Clifford semigroup $S$ is metrizable if and only if $S$ is an $M$-space and the set $E=\{e\in S:ee=e\}$ of idempotents of $S$ is a metrizable $G_\delta$-set in $S$.
A. Arhangel’skii +13 more
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On a complete topological inverse polycyclic monoid
We give sufficient conditions when a topological inverse $\lambda$-polycyclic monoid $P_{\lambda}$ is absolutely $H$-closed in the class of topological inverse semigroups.
Bardyla, Serhii, Gutik, Oleg
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Some properties of s-paratopological groups
A paratopological group G is called an s-paratopological group if every sequentially continuous homomorphism from G to a paratopological group is continuous. For every paratopological groups (G, ?), there is an s-coreflection (G, ?S(G,?)), which is an s-paratopological group. A characterization of s-coreflection of (G, ?) is obtained, i.e.,
Zhongbao Tang, Mengna Chen
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Paratopological and semitopological groups versus topological groups
A group \(G\) with a topology is called a \textit{semitopological group} if the multiplication is separately continuous, and \(G\) is called a \textit{paratopological group} if the multiplication is jointly continuous. Clearly, every topological group is paratopological group and semitopological group.
Arhangel'skii, A.V., Reznichenko, E.A.
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Condensations of paratopological groups
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Factorization properties of paratopological groups
The paper under review answers in the affirmative several questions on the \(\mathbb{R}\)-factorizability of paratopological groups (and related properties) posed in [\textit{M. Sanchis} and \textit{M. Tkachenko}, Topology Appl. 157, No. 4, 800--808 (2010; Zbl 1185.54034)] and [\textit{L.-H. Xie} and \textit{S. Lin}, Topology Appl. 160, No. 8, 979--990
Xie, Li-Hong +2 more
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