Results 241 to 250 of about 4,846,870 (280)

Spaces with a Unique Uniformity

Canadian Journal of Mathematics, 1983
The major results in this paper are nine characterizations of completely regular spaces with a unique compatible uniformity. All prior results of this type assumed that the space is Tychonoff (i.e., completely regular and Hausdorff) until the appearance of a companion paper [9] which began this study.
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Fuzzifying uniform spaces

Fuzzy Sets and Systems, 1993
In a series of papers the author has developed foundations of the theory of fuzzifying topologies [ibid. 39, 303-321 (1991; Zbl 0718.54017) and others]. In the present work the uniform counterpart of fuzzifying topologies -- the so called fuzzifying uniformities, are introduced and their fundamental properties are studied.
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Boundedness in uniform spaces and fuzzy uniform spaces

Fuzzy Sets and Systems, 1993
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A Generalization of Probabilistic Uniform Spaces

Applied Categorical Structures, 2002
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Completion of Semi-uniform Spaces

Applied Categorical Structures, 2007
A semi-uniform space \((X,{\mathcal U})\) is a set \(X\) together with a filter \({\mathcal U}\) of reflexive relations on \(X\) that has a base of symmetric relations. A semi-umiform space \((X,{\mathcal U})\) is a \(t\)-semi-uniform space provided that the closure operation given by \(\text{cl}(A)= \{U(A)\mid U\in{\mathcal U}\}\) is topological.
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Fuzzy soft uniform spaces

Soft Computing, 2016
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Salah El-Din Abbas, Ismail Ibedou
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Uniform continuity in sequentially uniform spaces

Acta Mathematica Hungarica, 1993
The authors prove that every uniformly sequential uniform space is proximally fine, i.e., it is the finest uniform space inducing its proximity (no references to this result are given; it was proved e.g. by \textit{N. S. Ramm} and \textit{A. S. Shvarts} [Mat. Sb., Nov. Ser. 33(75), 157-180 (1952; Zbl 0050.391)]).
DI CONCILIO, Anna, S. A. Naimpally
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A uniform convergence for non-uniform spaces

Publicationes Mathematicae Debrecen, 1995
``Strong convergence'' is a pretopology defined on the set of functions from an arbitrary set \(X\) into a topological space \(Y\); it is generally finer than uniform convergence and preserves continuity. The ``uniform'' nature of strong convergence is demonstrated by showing how it can be derived from a certain filter \({\mathcal R}\) defined on \(Y ...
Kupka, I., Toma, V.
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Uniform Continuity of Continuous Functions on Uniform Spaces

Canadian Journal of Mathematics, 1961
Recently several topologists have called attention to the uniform structures (in most cases, the coarsest ones) under which every continuous real function is uniformly continuous (let us call the structures the [coarsest] uc-structures), and some important results have been found which closely relate, explicitly or implicitly, to the uc-structures ...
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-uniform spaces versus -uniform spaces

Fuzzy Sets and Systems, 2006
Tomasz Kubiak, Iraide Mardones-Pérez, María Angeles de Prada-Vicente   +2 more
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