Results 1 to 10 of about 433 (82)
On Soft SIgδs-closed sets [PDF]
E3S Web of Conferences, 2023 In this paper, we introduce some new notions called soft SIgδs - closed sets, soft SIgδs - open sets. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other types of sets.
Rosemathy Y. +4 more
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Duality of locally quasi-convex convergence groups
, 2021 In the realm of the convergence spaces, the generalisation of topological groups is the convergence groups, and the corresponding extension of the Pontryagin duality is the continuous duality.
Pranav Sharma
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The B-topology on S∗-doubly quasicontinuous posets
Open Mathematics, 2021 The notions of os{o}_{s}-convergence and S∗{S}^{\ast }-doubly quasicontinuous posets are introduced, which can be viewed as common generalizations of Birkhoff’s order-convergence and S∗{S}^{\ast }-doubly continuous posets, respectively. We first consider
Sun Tao, Li Qingguo, Zou Zhiwei
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Complex Manifolds, 2022 This paper is an introduction to cosymplectic topology. Through it, we study the structures of the group of cosymplectic diffeomorphisms and the group of almost cosymplectic diffeomorphisms of a cosymplectic manifold (M, ω, η) : (i)− we define and ...
Tchuiaga Stephane +2 more
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Dual uniformities in function spaces over uniform continuity
Open Mathematics, 2022 The notion of dual uniformity is introduced on UC(Y,Z)UC(Y,Z), the uniform space of uniformly continuous mappings between YY and ZZ, where (Y,V)(Y,{\mathcal{V}}) and (Z,U)(Z,{\mathcal{U}}) are two uniform spaces.
Gupta Ankit +3 more
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A study of uniformities on the space of uniformly continuous mappings
Open Mathematics, 2020 New families of uniformities are introduced on UC(X,Y)UC(X,Y), the class of uniformly continuous mappings between X and Y, where (X,U)(X,{\mathcal{U}}) and (Y,V)(Y,{\mathcal{V}}) are uniform spaces.
Gupta Ankit +3 more
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On the topological covering properties by means of generalized open sets
Topological Algebra and its Applications, 2023 By utilizing gg-open sets, we developed the ideas of GO-Mengerness and GO-Lindelöfness in this article. The structure of GO-compactness is compared to these topological covering features.
Sarkar Susmita +2 more
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Ascoli-type theorems in the cone metric space setting
Journal of Inequalities and Applications, 2014 We give some necessary and sufficient conditions for (global) continuity of the limit of a pointwise convergent net of cone metric space-valued functions, defined on a Hausdorff topological space, in terms of weak filter exhaustiveness. In this framework,
A. Boccuto, X. Dimitriou
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Topological Scott Convergence Theorem [PDF]
Logical Methods in Computer Science, 2019 Recently, J. D. Lawson encouraged the domain theory community to consider the scientific program of developing domain theory in the wider context of $T_0$ spaces instead of restricting to posets.
Hadrian Andradi, Weng Kin Ho
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On some properties of the space of upper semicontinuous functions [PDF]
, 2018 For a Tychonoff space $X$, we will denote by $USC_{p}(X)$ ($B_1(X)$) a set of all real-valued upper semicontinuous functions (a set of all Baire functions of class 1) defined on $X$ endowed with the pointwise convergence topology.
Osipov, Alexander V. +1 more
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