Results 21 to 30 of about 12,547 (197)
Closed subsets of compact-like topological spaces
Applied General Topology, 2020 We investigate closed subsets (subsemigroups, resp.) of compact-like topological spaces (semigroups, resp.). We show that each Hausdorff topological space is a closed subspace of some Hausdorff ω-bounded pracompact topological space and describe open ...
Serhii Bardyla, Alex Ravsky
doaj +1 more source
Pettis property for Polish inverse semigroups
Applied General Topology, 2023 We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property.
Karen Arana +2 more
doaj +1 more source
Topological Additively Representable Semigroups
Journal of Mathematical Analysis and Applications, 1997 A totally ordered set \((S,\lesssim)\) is called representable if there exists a map \(\mu: X\to\mathbb{R}\) such that \(x\lesssim y\) if and only if \(\mu(x) \leq\mu(y)\) for every \(x,y\in X\). This paper is to extend the above concept to totally ordered connected topological semigroups.
Candeal, Juan Carlos +2 more
openaire +2 more sources
Topological graph inverse semigroups
Topology and its Applications, 2016 25 pages.
Mesyan, Z. +3 more
openaire +5 more sources
Brandt Extensions and Primitive Topological Inverse Semigroups
International Journal of Mathematics and Mathematical Sciences, 2010 We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological
Tetyana Berezovski +2 more
doaj +1 more source
Non-commutative Stone duality: inverse semigroups, topological groupoids and C*-algebras [PDF]
, 2012 We study a non-commutative generalization of Stone duality that connects a class of inverse semigroups, called Boolean inverse $\wedge$-semigroups, with a class of topological groupoids, called Hausdorff Boolean groupoids. Much of the paper is given over
Lawson, Mark V
core +1 more source
Semigroups of Right Quotients of Topological Semigroups [PDF]
Transactions of the American Mathematical Society, 1970 Es sei \(S=(S, \cdot, \mathfrak S)\) eine topologische Halbgruppe und \(T= (T, \cdot) = Q_r(S,\Sigma)\) eine Rechtsquotientenhalbgruppe von \(S\) bezüglich einer Unterhalbgruppe \(\Sigma\) von \(S\). Gegenstand der Arbeit ist die Untersuchung von Topologien \(\mathfrak T\) auf \(T\), so daß \((T, \cdot, \mathfrak T)\) topologische Halbgruppe ist und \(\
openaire +2 more sources
Fourier Algebras on Topological Foundation *-Semigroups. [PDF]
Semigroup Forum, 2004 We introduce the notion of the Fourier and Fouier-Stieltjes algebra of a topological *-semigroup and show that these are commutative Banach algebras. For a class of foundation semigroups, we show that these are preduals of von Neumann algebras.
Amini, Massoud, Medghalchi, Alireza
openaire +2 more sources
On a complete topological inverse polycyclic monoid
Karpatsʹkì Matematičnì Publìkacìï, 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.
S.O. Bardyla, O.V. Gutik
doaj +1 more source
Thickness in topological transformation semigroups
International Journal of Mathematics and Mathematical Sciences, 1993 This article deals with thickness in topological transformation semigroups (τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on a τ-semigroup if there exists an invariant mean on its ...
Tyler Haynes
doaj +1 more source