On completions of proximity and uniform spaces
Don A. Mattson (1977)
Colloquium Mathematicae
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Don A. Mattson (1977)
Colloquium Mathematicae
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Dowker, C. H.
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Tomi Alaste (2012)
Studia Mathematica
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We show that the uniform compactification of a uniform space (X,𝓤) can be considered as a space of filters on X. We apply these filters to study the ℒ𝓤𝓒-compactification of a topological group.
Lowen, Robert, Windels, Bart (2000)
International Journal of Mathematics and Mathematical Sciences
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J. Vilímovský (1987)
Fundamenta Mathematicae
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Vilímovský, J.
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Roland Coghetto (2016)
Formalized Mathematics
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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, we define the concept of the partition topology. Following the Vlach’s works [11, 10], we define the semi-uniform space induced by a tolerance and the uniform space induced by an equivalence...
W. Kulpa (1972)
Colloquium Mathematicae
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Fredrick Stevenson (1972)
Fundamenta Mathematicae
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