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Uniform topology on EQ-algebras
Open Mathematics, 2017 In this paper, we use filters of an EQ-algebra E to induce a uniform structure (E, 𝓚), and then the part 𝓚 induce a uniform topology 𝒯 in E. We prove that the pair (E, 𝒯) is a topological EQ-algebra, and some properties of (E, 𝒯) are investigated.
Yang Jiang, Long Xin Xiao, He Peng Fei
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International Journal of Mathematics and Mathematical Sciences, 2000 Approach uniformities were introduced in Lowen and Windels (1998) as the canonical generalization of both metric spaces and uniform spaces. This text presents in this new context of quantitative uniform spaces, a reflective completion theory which ...
Robert Lowen, Bart Windels
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On proximal fineness of topological groups in their right uniformity
Applied General Topology, 2019 A uniform space X is said to be proximally fine if every proximally continuous function defined on X into an arbitrary uniform pace Y is uniformly continuous.
Ahmed Bouziad
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Cardinal functions on modifications of uniform spaces and fine uniform spaces [PDF]
Proceedings of the American Mathematical Society, 1982 The paper studies the question for which modifications r r of Unif the following theorem can be generalized by substituting a precompact modification p p by r r : A uniform space has the finest uniformity inducing its proximity if and only if each proximally continuous mapping from this space to any ...
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UNIFORM SPACE WITH UNIFORM ABSOLUTE
The herald of KSUCTA n a N Isanov, 2021 In this article introduced the concept of the absolute in uniform space, and some results on topological absolutes are generalized and carried over to the uniform case.
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Optimal Information Transfer and the Uniform Measure over Probability Space
Entropy, 2023 For a quantum system with a d-dimensional Hilbert space, suppose a pure state |ψ⟩ is subjected to a complete orthogonal measurement. The measurement effectively maps |ψ⟩ to a point (p1,…,pd) in the appropriate probability simplex.
William K. Wootters
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Spaces of nonuniform ultrafilters in spaces of uniform ultrafilters
Topology and its Applications, 1990 For an infinite cardinal \(\kappa\), let U(\(\kappa\)) denote the space of uniform ultrafilters on \(\kappa\), and denote \(NU(\kappa)=\beta \kappa \setminus U(\kappa)\). It is known that NU(\(\gamma\)) is not normal if \(\gamma\) is regular and not a strong limit [\textit{V. I.
Bešlagić, Amer, van Douwen, Eric K.
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Formalized Mathematics, 2016 Abstract In this article, using mostly Pervin [9], Kunzi [6], [8], [7], Williams [11] and Bourbaki [3] works, we formalize in Mizar [2] the notions of quasiuniform space, semi-uniform space and locally uniform space. We define the topology induced by a quasi-uniform space.
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Weakly uniform rank two vector bundles on multiprojective spaces [PDF]
, 2011 Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover, we show that every rank r>2 weakly uniform vector bundle with splitting type a1,1=⋯=ar,s=0 is trivial and every rank r>2 uniform vector bundle with ...
Malaspina, Francesco +5 more
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On Doitchinov's quietness for arbitrary quasi-uniform spaces [PDF]
, 2010 The notion of a quiet quasi-uniform space was introduced by Doitchinov in1988 when he developed an interesting completion theory for this class ofquasi-uniform spaces.
Kivuvu, Charly Makitu
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