Results 11 to 20 of about 4,846,870 (280)
Dual uniformities in function spaces over uniform continuity
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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Completeness in Quasi-Pseudometric Spaces—A Survey
The aim of this paper is to discuss the relations between various notions of sequential completeness and the corresponding notions of completeness by nets or by filters in the setting of quasi-metric spaces.
Ştefan Cobzas
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Annual; Calendar year 1999-; At head of title: State of ...
Connecticut. Commission on Uniform Legislation.
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This paper presents some variants of minimal point theorem together with corresponding variants of Ekeland variational principle. In the second part of this article, there is a discussion on Ekeland variational principle and minimal point theorem ...
Meghea Irina, Stamin Cristina Stefania
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A study of uniformities on the space of uniformly continuous mappings
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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Tangent-space methods for truncating uniform MPS
A central primitive in quantum tensor network simulations is the problem of approximating a matrix product state with one of a lower bond dimension.
Bram Vanhecke, Maarten Van Damme, Jutho Haegeman, Laurens Vanderstraeten, Frank Verstraete
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Strong and Uniform Continuity – the Uniform Space Case [PDF]
AbstractIt is proved, within the constructive theory of apartness spaces, that a strongly continuous mapping from a totally bounded uniform space with a countable base of entourages to a uniform space is uniformly continuous. This lifts a result of Ishihara and Schuster from metric to uniform apartness spaces.
Douglas S. Bridges, Luminita Vîta
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Abstract In this article, we formalize in Mizar [1] the notion of uniform space introduced by André Weil using the concepts of entourages [2]. We present some results between uniform space and pseudo metric space. We introduce the concepts of left-uniformity and right-uniformity of a topological group. Next,
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Uniformization of quasi-uniform spaces [PDF]
This paper considers the question of when a quasi-uniform space has a compatible uniform structure. Typical of the sufficient conditions provided is the result that a quasi-uniform space whose conjugate topology is compact and R0 is uniformizable.
Raghavan, T. G., Reilly, I. L.
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About uniformly Menger spaces [PDF]
Precompact type properties - precompactness (=totally precompactness), s-precompactness, pre-Lindelöfness, (=ℵ0-boundedness), t -boundedness - belong to the basic important invariants studied in the uniform topology.
Kanetov Bekbolot +2 more
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