Results 1 to 10 of about 43,719 (310)
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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Locally compact quantum groups [PDF]
Annales Scientifiques de l’École Normale Supérieure, 2000 Summary: We propose a simple definition of a locally compact quantum group in reduced form. By the word `reduced' we mean that we suppose the Haar weight to be faithful. So in fact we define and study an arbitrary locally compact quantum group, represented on the \(L^2\)-space of its Haar weight.
Kustermans, Johan, Vaes, Stefaan
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The regular-locally compact coreflection of a stably locally compact locale
Journal of Pure and Applied Algebra, 2001 Via the frame of Scott continuous nuclei the author shows that (i) the category of regular locally compact locales and perfect maps appears as a coreflective subcategory of the category of stably locally compact locales and perfect maps; (ii) the category of compact regular locales and continuous maps appears as a coreflective subcategory of the ...
Escardo, Martin; id_orcid +1 more
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Locally compact, $\omega_1$-compact spaces
, 2017 An $\omega_1$-compact space is a space in which every closed discrete subspace is countable. We give various general conditions under which a locally compact, $\omega_1$-compact space is $\sigma$-countably compact, i.e., the union of countably many countably compact spaces. These conditions involve very elementary properties.
Nyikos, Peter, Zdomskyy, Lyubomyr
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Homogeneous Locally Compact Groups
Journal of Algebra, 1998 Motivated by their occurrence in topological geometry, the author studies locally compact groups that are homogeneous in the sense that their automorphism group acts transitively on the non-identity elements. The main results say that compact homogeneous groups are precisely the arbitrary powers of cyclic groups of prime order (with product topology ...
Stroppel, Markus
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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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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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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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