Results 31 to 40 of about 346 (87)

The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups

open access: yes, 2009
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
core   +1 more source

Compactly Generated Stacks: A Cartesian Closed Theory of Topological Stacks

open access: yes, 2012
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
core   +1 more source

Categorically closed topological groups

open access: yes, 2017
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
core   +2 more sources

MP-equivalence of free paratopological groups

open access: yesTopology and its Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cai, Zhangyong, Lin, Shou
openaire   +2 more sources

Metrizability of Clifford topological semigroups

open access: yes, 2011
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
core   +1 more source

On a complete topological inverse polycyclic monoid

open access: yes, 2016
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
core   +2 more sources

Some properties of s-paratopological groups

open access: yesFilomat, 2023
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
openaire   +1 more source

Paratopological and semitopological groups versus topological groups

open access: yesTopology and its Applications, 2005
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.
openaire   +1 more source

Condensations of paratopological groups

open access: yesTopology and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Factorization properties of paratopological groups

open access: yesTopology and its Applications, 2013
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
openaire   +2 more sources

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