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A bosonic topological order on d-dimensional closed space Σ^{d} may have degenerate ground states. The space Σ^{d} with different shapes (different metrics) form a moduli space M_{Σ^{d}}.
Liang Kong, Xiao-Gang Wen
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Spectral Radii of Bounded Operators on Topological Vector Spaces [PDF]
In this paper we develop a version of spectral theory for bounded linear operators on topological vector spaces. We show that the Gelfand formula for spectral radius and Neumann series can still be naturally interpreted for operators on topological ...
Troitsky, Vladimir G.
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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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Algebraic characterisation of hyperspace corresponding to topological vector space [PDF]
Let X be a Hausdor topological vector space over the field of real or complex numbers. When Vietoris topology is given,the hyperspace ℘(X) of all nonempty compact subsets of X forms a topological exponential vector space over the same field. Exponential
Jayeeta Saha, Sandip Jana
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On Characterization of δ-Topological Vector Space
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
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 Bishop–Phelps and Krein–Milman Properties
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 some generalization of order cancellation law for subsets of topological vector space
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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Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space
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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Topological phases and bulk-edge correspondence of magnetized cold plasmas
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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