Results 1 to 10 of about 571,356 (108)
On Characterization of δ-Topological Vector Space
Ratio Mathematica, 2021 The main objective of this paper is to present the study of δ-topological vector space, δ-topological vector space are defined by using δ-open sets and δ-continuous mapping which was introduced by J.H.H. Bayati[3] in 2019. In this paper, along with basic
Shallu Sharma +2 more
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On Bishop–Phelps and Krein–Milman Properties
Mathematics, 2023 A real topological vector space is said to have the Krein–Milman property if every bounded, closed, convex subset has an extreme point. In the case of every bounded, closed, convex subset is the closed convex hull of its extreme points, then we say that ...
Francisco Javier García-Pacheco
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On Rigidity of Lattice of Topologies Containing Vector Topologies on Vector Spaces [PDF]
Order 41(3) (2024) 721-736, 2023 A vector topology on a vector space over a topological field is a (not necessarily Hausdorff) topology by which the addition and scalar multiplication are continuous. We prove that, if an isomorphism between the lattice of topologies of two vector spaces preserves vector topologies, then the isomorphism is induced by a translation, a semilinear ...
arxiv +1 more source
On some generalization of order cancellation law for subsets of topological vector space
Moroccan Journal of Pure and Applied Analysis, 2023 In this paper we generalize a result of R. Urbański from paper [7] which states that for subsets A, B, C of topological vector space X the following implication holds A+B⊂B+C⇒A⊂CA + B \subset B + C \Rightarrow A \subset C provided that B is bounded and
Przybycie Hubert
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Topological phases and bulk-edge correspondence of magnetized cold plasmas
Nature Communications, 2021 Magnetized plasma can be regarded as topological matter. Here the authors identify a necessary and sufficient condition for the existence of topological edge mode and find that cold magnetized plasma has ten topological phases in the plasma frequency ...
Yichen Fu, Hong Qin
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Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space
Journal of Mathematical and Fundamental Sciences, 2015 This paper deals with countable fuzzy topological spaces, a generalization of the notion of fuzzy topological spaces. A collection of fuzzy sets F on a universe X forms a countable fuzzy topology if in the definition of a fuzzy topology, the condition of
Apu Kumar Saha, Debasish Bhattacharya
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Science Journal of University of Zakho, 2017 The main objective of this paper is to present the study of α-topological vector spaces. α-topological vector spaces are defined by using α-open sets and α-irresolute mappings.
Hariwan Z. Ibrahim
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Physical Review X, 2022 As a promising avenue to obtain a new extreme ultraviolet light source and detect electronic properties, high-harmonic generation (HHG) has been actively developed in both theory and experiment.
Chen Qian +8 more
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*—Inductive limits and partition of unity
International Journal of Mathematics and Mathematical Sciences, 1989 In this note we define and discuss some properties of partition of unity on *-inductive limits of topological vector spaces. We prove that if a partition of unity exists on a *-inductive limit space of a collection of topological vector spaces, then it ...
V. Murali
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Topological Analysis on the Belief Rule Base Space
IEEE Access, 2019 The belief rule base (BRB) uses the “IF-THEN” rule to handle different types of information under uncertainty, and then transforms them into a unified result in the same belief structure as the input.
Caiyun Niu +3 more
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