Results 1 to 10 of about 382,533 (273)
Embedding the bicyclic semigroup into countably compact topological semigroups [PDF]
Topology and its Applications, 2010 We study algebraic and topological properties of topological semigroups containing a copy of the bicyclic semigroup C(p,q). We prove that each topological semigroup S with pseudocompact square contains no dense copy of C(p,q). On the other hand, we construct a (consistent) example of a pseudocompact (countably compact) Tychonov semigroup containing a ...
Тарас Банах +2 more
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Semigroups of right quotients of topological semigroups [PDF]
Transactions of the American Mathematical Society, 1970 Introduction. Let S= (S, -) be a semigroup and T= QT(S, E) a semigroup of right quotients of S with respect to a subsemigroup E of S (cf. ?2). Suppose that S is equipped with a topology S which makes (S, ., C) into a topological semigroup. The purpose of this paper is to investigate topologies Z on T with the properties that (T, *, Z) is a topological ...
Hanns Joachim Weinert
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On the Cohomology of Topological Semigroups
Communications in Advanced Mathematical Sciences, 2019 In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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Limits of Convolution Sequences of Measures on a Compact Topological Semigroup [PDF]
, 1960 Introduction. Limit properties of the convolution sequence of a regular measure on a compact topological semigroup are examined in this paper. Similar questions, as they arise in the case of a compact group, were examined byKAWADA & ITO [4], Recently ...
M. Rosenblatt
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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 Biś +3 more
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Metrizability of Clifford topological semigroups [PDF]
Semigroup Forum, 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_ $-set in $S$. The same metrization criterion holds also for any countably compact Clifford topological semigroup $S$.
Oles Potiatynyk +4 more
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Embedding topological semigroups in topological groups [PDF]
Semigroup Forum, 1970 In [6] Rothman investigated the problem of embedding a topological semigroup in a topological group. He defined a concept calledProperty F and showed that Property F is a necessary and sufficient condition for embedding a commutative, cancellative topological semigroup in its group of quotients as an open subset.
Sheila A. McKilligan
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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
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THE TRANSLATIONAL HULL OF A TOPOLOGICAL SEMIGROUP [PDF]
Transactions of the American Mathematical Society, 1976 This paper is concerned with three aspects of the study of topological versions of the translational hull of a topological semigroup. These include topological properties, applications to the general theory of topological semigroups, and techniques for ...
J. A. Hildebrant, J. Lawson, D. Yeager
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Extensions of left uniformly continuous functions on a topological semigroup [PDF]
, 1972 For any topological semigroup S with separately continuous operation, let C(S) denote the set of all bounded continuous real valued functions on S with the supremum norm and let LUC(S) denote the set of all f in C(S) such that whenever {s(y)} is a net in
Samuel J. Wiley
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