Results 11 to 20 of about 43,719 (310)
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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Locally compact space and continuity
Bibechana, 2010 Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness.
Shitanshu Shekhar Choudhary +1 more
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Locally Compact Hypergroupoids
Indian Journal of Pure and Applied Mathematics, 2020 The authors study locally compact hypergroupoids. Hypergroupoids generalize both hypergroups and groupoids. The authors assume the continuity of the map \((x, y) \mapsto \operatorname{supp}(\delta_{x} \ast \delta_{y})\) and show that the adjoint property in Renault's definition of the left Haar system follows automatically.
Tabatabaie, S.M. +3 more
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Pairwise Locally Compact Space and Pairwise Locally Lindelőf Space
, 2021 In this paper we define pairwise locally compact space and pairwise locally lindelöf space and study their properties and their relations with other bitopological spaces.
Nabeela I. Abualkishik, Hasan Z. Hdeib
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Automorphisms of locally compact groups [PDF]
Pacific Journal of Mathematics, 1978 It is proved that for arbitrary locally compact groups G the automorphism group Aut (G) is a complete topological group. Several conditions equivalent to closedness of the group Int (G) of inner automorphisms are given, such as G admits no nontrivial central sequences. It is shown that Aut (G) is topologically embedded in the automorphism group Aut^(G)
Peters, J., Sund, Terje
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Ways of obtaining topological measures on locally compact spaces [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 Topological measures and quasi-linear functionals generalize measures and li\-near functionals. Deficient topological measures, in turn, generalize topological measures.
S. V. Butler
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Quantum stochastic convolution cocycles III [PDF]
, 2011 The theory of quantum Levy processes on a compact quantum group, and more generally quantum stochastic convolution cocycles on a C*-bialgebra, is extended to locally compact quantum groups and multiplier C*-bialgebras.
Skalski, Adam G. +3 more
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When is an ultracomplete space almost locally compact?
Applied General Topology, 2006 We study spaces X which have a countable outer base in βX; they are called ultracomplete in the most recent terminology. Ultracompleteness implies Cech-completeness and is implied by almost local compactness (≡having all points of non-local compactness ...
Daniel Jardón Arcos +1 more
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On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero
Topological Algebra and its Applications, 2022 Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of ...
Gutik Oleg, Khylynskyi Pavlo
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Математичні Студії, 2023 Let $\boldsymbol{B}_{\omega}^{\mathscr{F}}$ be the bicyclic semigroup extension for the family $\mathscr{F}$ of ${\omega}$-closed subsets of $\omega$ which is introduced in \cite{Gutik-Mykhalenych=2020}.
O. V. Gutik, M. S. Mykhalenych
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