Results 31 to 40 of about 271 (88)

On the topology of free paratopological groups

, 2012
The result often known as Joiner's lemma is fundamental in understanding the topology of the free topological group $F(X)$ on a Tychonoff space$X$. In this paper, an analogue of Joiner's lemma for the free paratopological group $\FP(X)$ on a $T_1$ space $
Elfard, Ali Sayed, Nickolas, Peter
core   +1 more source

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

, 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, B. Bokalo, C. Eberhart, D. Pagon, D. Repovš, J. A. Hildebrant, J. H. Carruth, K. Numakura, N. Brand, O. Gutik, O. Gutik, P. Koszmider, P. S. Kenderov, R. E. Madariaga-Garcia, R. Ellis, S. P. Franklin, T. Banakh, T. O. Banakh   +17 more
core   +1 more source

Compactly Generated Stacks: A Cartesian Closed Theory of Topological Stacks

, 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

MP-equivalence of free paratopological groups

Topology 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

, 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, A.V. Arkhangel’skiĭ, Alex Ravsky, B. Bokalo, G. Gruenhage, K. Morita, O. Gutik, Oleg Gutik, Oles Potiatynyk, P.D. Kruming, R.J. Koch, T. Banakh, T. Banakh, Taras Banakh   +13 more
core   +1 more source

On a complete topological inverse polycyclic monoid

, 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

Filomat, 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

On topological groups of monotonic automorphisms

Applied General Topology
We study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function composition and the topology of point ...
Raushan Buzyakova
doaj   +1 more source

Paratopological and semitopological groups versus topological groups

Topology 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.
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Condensations of paratopological groups

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