Results 51 to 60 of about 14,246,372 (112)
Semigroup Closures of Finite Rank Symmetric Inverse Semigroups
, 2008 We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
A. Abd-Allah +35 more
core +1 more source
On metrizable enveloping semigroups [PDF]
, 2006 When a topological group $G$ acts on a compact space $X$, its enveloping semigroup $E(X)$ is the closure of the set of $g$-translations, $g\in G$, in the compact space $X^X$. Assume that $X$ is metrizable.
Glasner, Eli +2 more
core +4 more sources
Every Cech-analytic Baire semitopological group is a topological group [PDF]
Proceedings of the American Mathematical Society, 1996 This paper answers positively a question of Pfister by proving that every Čech-complete semitopological group (that is, a group with a separately continuous multiplication) is a topological group. In fact, a bit more is proved: every Čech-analytic Baire semitopological group is a topological group. The same result for locally compact groups is known as
openaire +3 more sources
Semicontinuous groups and separation properties
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 621-623, 1992.
Ellen Clay, Bradd Clark, Vic Schneider
wiley +1 more source
On paratopological groups [PDF]
, 2013 In this paper, we firstly construct a Hausdorff non-submetrizable paratopological group $G$ in which every point is a $G_{\delta}$-set, which gives a negative answer to Arhangel'ski\v{\i}\ and Tkachenko's question [Topological Groups and Related ...
Lin, Fucai, Liu, Chuan
core
On monoids of monotone injective partial self-maps of integers with cofinite domains and images
, 2012 We study the semigroup $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ of monotone injective partial selfmaps of the set of integers having cofinite domain and image. We show that $\mathscr{I}^{\nearrow}_{\infty}(\mathbb{Z})$ is bisimple and all of its non-
Gutik, Oleg, Repovš, Dušan
core +1 more source
Preduals of semigroup algebras [PDF]
, 2008 For a locally compact group $G$, the measure convolution algebra $M(G)$ carries a natural coproduct. In previous work, we showed that the canonical predual $C_0(G)$ of $M(G)$ is the unique predual which makes both the product and the coproduct on $M(G ...
Daws, Matthew +2 more
core
Categorically closed topological groups
, 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
Compactifications of topological groups [PDF]
, 2001 Every topological group $G$ has some natural compactifications which can be a useful tool of studying $G$. We discuss the following constructions: (1) the greatest ambit $S(G)$ is the compactification corresponding to the algebra of all right uniformly ...
Uspenskij, Vladimir
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