Results 11 to 20 of about 4,846,870 (280)

Dual uniformities in function spaces over uniform continuity

open access: yesOpen 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
doaj   +1 more source

Completeness in Quasi-Pseudometric Spaces—A Survey

open access: yesMathematics, 2020
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
doaj   +1 more source

Remarks on some variants of minimal point theorem and Ekeland variational principle with applications

open access: yesDemonstratio Mathematica, 2022
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
doaj   +1 more source

A study of uniformities on the space of uniformly continuous mappings

open access: yesOpen 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
doaj   +1 more source

Tangent-space methods for truncating uniform MPS

open access: yesSciPost Physics Core, 2021
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
doaj   +1 more source

Strong and Uniform Continuity – the Uniform Space Case [PDF]

open access: yesLMS Journal of Computation and Mathematics, 2003
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
openaire   +3 more sources

Uniform Space [PDF]

open access: yesFormalized Mathematics, 2016
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,
openaire   +3 more sources

Uniformization of quasi-uniform spaces [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1981
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.
openaire   +1 more source

About uniformly Menger spaces [PDF]

open access: yesMathematica Moravica
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
doaj   +1 more source

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