Results 11 to 20 of about 79 (77)
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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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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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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Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we continue studying the properties of weak soft axioms discussed and studied in [8]. We initiate and explore soft semi-R0 spaces at soft point in terms of soft semi-open sets and study its characterizations and properties.
Hussain Sabir
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A metrizable semitopological semilattice with non-closed partial order
Topological Algebra and its Applications, 2020 We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras +2 more
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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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Fuzzy properties in fuzzy convergence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 737-748, 2002., 2002 Based on the concept of limit of prefilters and residual implication, several notions in fuzzy topology are fuzzyfied in the sense that, for each notion, the degree to which it is fulfilled is considered. We establish therefore theories of degrees of compactness and relative compactness, of closedness, and of continuity.
Gunther Jäger
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γ‐sets and γ‐continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 3, Page 177-181, 2002., 2002 We introduce a new class of sets, called γ‐sets, and the notion of γ‐continuity and investigate some properties and characterizations. In particular, γ‐sets and γ‐continuity are used to extend known results for semi‐open sets and semi‐continuity.
Won Keun Min
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