Results 1 to 10 of about 412,232 (210)
Invariance entropy for topological semigroup actions [PDF]
Proceedings of the American Mathematical Society, 2013 Invariance entropy for the action of topological semigroups acting on metric spaces is introduced. It is shown that invariance entropy is invariant under conjugations and a lower bound and upper bounds of invariance entropy are obtained. The special case of control systems is discussed.
Colonius, Fritz +2 more
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The α-bicyclic semigroup as a topological semigroup
Semigroup Forum, 1984 C. Eberhart and J. Selden showed that the only Hausdorff topology on the bicyclic semigroup which makes it a topological semigroup is the discrete topology. A related result proved in this paper is the following: Let \(W_{\alpha}\) be the \(\alpha\)-bisimple semigroup. The only locally compact Hausdorff semigroup topology on \(W_{\alpha}\) is discrete.
J. W. Hogan
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The Upper Capacity Topological Entropy of Free Semigroup Actions for Certain Non-compact Sets [PDF]
Journal of statistical physics, 2021 In this paper, we first introduce some new notions of ‘periodic-like’ points, such as almost periodic points, weakly almost periodic points, quasi-weakly almost periodic points, of free semigroup actions.
Li Zhu, Dongkui Ma
semanticscholar +2 more sources
A topological correspondence between partial actions of groups and inverse semigroup actions [PDF]
Forum mathematicum, 2021 We present some generalizations of the well-known correspondence, found by Exel, between partial actions of a group G on a set X and semigroup homomorphism of 𝒮(G){\operatorname{\mathcal{S}}(G)} on the semigroup I(X){I(X)} of partial bijections of X ...
L. Mart'inez +2 more
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Metric Versus Topological Receptive Entropy of Semigroup Actions [PDF]
, 2021 We study the receptive metric entropy for semigroup actions on probability spaces, inspired by a similar notion of topological entropy introduced by Hofmann and Stoyanov (Adv Math 115:54–98, 1995).
Andrzej Bi's +3 more
semanticscholar +1 more source
𝜅-topologies for right topological semigroups [PDF]
Proceedings of the American Mathematical Society, 1992 Given a cardinal κ \kappa and a right topological semigroup S S with topology τ \tau , we consider the new topology obtained by declaring any intersection of at most κ \kappa members of τ \tau to be open.
Baker, John, Hindman, Neil, Pym, John
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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APPROXIMATE IDENTITY IN CLOSED CODIMENSION ONE IDEALS OF SEMIGROUP ALGEBRAS [PDF]
Journal of Algebraic Systems, 2014 Let S be a locally compact topological foundation semigroup with identity and Ma(S) be its semigroup algebra. In this paper, we give necessary and sufficient conditions to have abounded approximate identity in closed codimension one ideals of the ...
bharam Mohammadzadeh
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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
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Pseudocompact and precompact topological subsemigroups of topological groups
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 It is known that every pseudocompact topological group is precompact, we extend this result to a class of subsemigroup of topological groups. Then we use this results to prove that cancellative locally compact countably compact topological semigroups ...
Julio Cesar Hernandez
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