Results 11 to 20 of about 574,732 (350)
Metrizability of Pseudo Topological Vector Spaces
, 2021 In the present work, we introduce the notion of pseudo-seminorm, then we established, a criterion for the metrizability of a pseudo vector space đŻ with a pseudo topology đ. It is specified, that for the metrizability of đŻ is necessary and sufficient that
Intesar Harbi, Z. Al-Nafie
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Lâfuzzifying topological vector spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The main purpose of this paper is to introduce a concept of Lâfuzzifying topological vector spaces (here L is a completely distributive lattice) and study some of their basic properties. Also, a characterization of such spaces in terms of the corresponding Lâfuzzifying neighborhood structure of the zero element is given.
Cong-Hua Yan, Cong-Xin Wu
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Topological Vector Space-Valued Cone Metric Spaces and Fixed Point Theorems
, 2010 We develop the theory of topological vector space valued cone metric spaces with nonnormal cones. We prove three general fixed point results in these spaces and deduce as corollaries several extensions of theorems about fixed points and common fixed ...
Z. Kadelburg +2 more
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A countable dense homogeneous topological vector space is a Baire space [PDF]
Proceedings of the American Mathematical Society, 2020 We prove that every homogeneous countable dense homogeneous topological space containing a copy of the Cantor set is a Baire space. In particular, every countable dense homogeneous topological vector space is a Baire space.
T. Dobrowolski +2 more
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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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A DIFFERENTIABLE STRUCTURE ON A FINITE DIMENSIONAL REAL VECTOR SPACE AS A MANIFOLD
Barekeng, 2023 There are three conditions for a topological space to be said a topological manifold of dimension  : Hausdorff space, second-countable, and the existence of homeomorphism of a neighborhood of each point to an open subset of  or -dimensional locally ...
Edi Kurniadi
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On BishopâPhelps and KreinâMilman Properties
Mathematics, 2023 A real topological vector space is said to have the KreinâMilman 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 GarcĂa-Pacheco
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Geometric characterization of non-Hermitian topological systems through the singularity ring in pseudospin vector space [PDF]
Physical review B, 2019 This work unveils how geometric features of two-band non-Hermitian Hamiltonians can completely classify the topology of their eigenstates and energy manifolds.
Linhu Li, Ching Hua Lee, J. Gong
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Hyperspaces of topological vector spaces: their embedding in topological vector spaces [PDF]
Proceedings of the American Mathematical Society, 1976 Let L L be a real (Hausdorff) topological vector space. The space K [ L ] \mathcal {K}[L] of nonempty compact subsets of L L forms a (Hausdorff) topological semivector space with singleton origin when K [ L
Prem Prakash, Murat R. Sertel
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Topological transformation and free-space transport of photonic hopfions [PDF]
Advanced Photonics, 2022 Structured light fields embody strong spatial variations of polarisation, phase and amplitude. Understanding, characterization and exploitation of such fields can be achieved through their topological properties.
Yijie Shen +5 more
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