Results 1 to 10 of about 1,044,924 (289)
On ∂-partial-locally compact space [PDF]
Mathematics and Computational Sciences, 2023 The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other.
Aliakbar Alijani
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Existence Results for Generalized Vector Quasi-Equilibrium Problems in Hadamard Manifolds
Axioms, 2022 The purpose of this article was to establish manifold versions of existence theorems for generalized vector quasi-equilibrium problems in locally compact and σ-compact spaces without any continuity assumption.
Shuechin Huang
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Proceedings of the National Academy of Sciences, 1935 As a generalization of theorems of L. Pontryagin, E. R. van Kampen and D. van Dantzig, the authors prove the following theorems: Theorem I: A locally compact and separable (not necessarily associative or commutative) field \(F\) is either a hypercomplex system over the real field or is totally disconnected. Theorem III: A locally compact, separable and
Jacobson, Nathan, Taussky, O.
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On unconditionally convergent series in topological rings
Karpatsʹkì Matematičnì Publìkacìï, 2022 We define a topological ring $R$ to be Hirsch, if for any unconditionally convergent series $\sum_{n\in\omega} x_i$ in $R$ and any neighborhood $U$ of the additive identity $0$ of $R$ there exists a neighborhood $V\subseteq R$ of $0$ such that $\sum_{n ...
T.O. Banakh, A.V. Ravsky
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Localized Frames and Compactness [PDF]
Journal of Fourier Analysis and Applications, 2015 We introduce the concept of weak-localization for generalized frames and use this concept to define a class of weakly localized operators. This class contains many important operators, including: Short Time Fourier Transform multipliers, Calderon-Toeplitz operators, Toeplitz operators on various functions spaces, Anti-Wick operators, and many others ...
Batayneh, Fawwaz, Mitkovski, Mishko
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Computably Based Locally Compact Spaces [PDF]
Logical Methods in Computer Science, 2006 ASD (Abstract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same category as the original space, with an associated lambda-calculus.
Paul Taylor
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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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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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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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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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