Results 11 to 20 of about 14,246,372 (112)

Some algebraic universal semigroup compactifications

International Journal of Mathematics and Mathematical Sciences, 2001
Universal compactifications of semitopological semigroups with respect to the properties satisfying the varieties of semigroups and groups are studied through two function algebras.
H. R. Ebrahimi-Vishki
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Some generalized metric properties of n-semitopological groups

Algebra universalis
A semitopological group $G$ is called {\it an $n$-semitopological group}, if for any $g\in G$ with $e\not\in\overline{\{g\}}$ there is a neighborhood $W$ of $e$ such that $g\not\in W^{n}$, where $n\in\mathbb{N}$. The class of $n$-semitopological groups ($n\geq 2$) contains the class of paratopological groups and Hausdorff quasi-topological groups.
Lin, Fucai, Qi, Xixi
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Submetrizability in semitopological groups

Topology and its Applications, 2014
Recall that a \textit{semitopological group} is a group with a topology such that the multiplication in the group is separately continuous, and if the multiplication is jointly continuous, then the group is called a \textit{paratopological group}.
Li, Piyu, Xie, Li-Hong, Lin, Shou
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Projectively first-countable semitopological groups

Topology and its Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I. Sánchez
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Metrizability of paratopological (semitopological) groups

Topology and its Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chuan Liu
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Semitopological groups, Bouziad spaces and topological groups

Topology and its Applications, 2013
A~set~\(Y\) in a~topological space~\(X\) is said to be \textit{bounded} in~\(X\) if \(\bigcap_{n\in\mathbb{N}}\overline{U_n}\neq\emptyset\) whenever \((U_n)_{n\in\mathbb{N}}\) is a~decreasing sequence of open sets in~\(X\) such that \(U_n\cap Y\neq\emptyset\) for each \(n\in\mathbb{N}\).
W. Moors
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Some Baire semitopological groups that are topological groups

Topology and its Applications, 2017
A semitopological group is a group equipped with a topology such that the multiplication is separately continuous. The paper contributes to the study of the well-known problem to find topological conditions under which a semitopological group is a topological group. The main result of the author states that a semitopological group which is a regular \(\
W. Moors
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Hereditary coreflective subcategories in epireflective subcategories of semitopological groups

Topology and its Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Veronika Pitrová
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On locally p⁎⁎-spaces and remainders of semitopological groups

Topology and its Applications, 2019
Abstract We study the compactification of semitopological groups with remainders being locally p ⁎ ⁎ -spaces, and establish: (1) if a semitopological group X has a remainder that is locally a p ⁎ ⁎ -space, then either X is a paracompact p-topological group, or X is meager; (2) if a non-locally compact paratopological group X
Hanfeng Wang, Wei He, Jing Zhang
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A note on semitopological groups and paratopological groups

Topology and its Applications, 2015
\textit{M. Tkachenko} proved in [Topology Appl. 161, 364--376 (2014; Zbl 1287.54047)] that for every semitopological group \(G\) and every \(i\in\{0,1,2,3,3.5\}\), there exists a continuous homomorphism \(\varphi_{G,i}:G\to H\) onto a \(T_i\)- (resp., \(T_i\) \& \(T_1\)- for \(i\geq3\)) semitopological group \(H\) such that for every continuous mapping
L. Peng
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