On a property of pseudometrics and uniformities near to convexity
Jan Hejcman, Jiří Vilímovský (1988)
Czechoslovak Mathematical Journal
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Jan Hejcman, Jiří Vilímovský (1988)
Czechoslovak Mathematical Journal
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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...
J. Vilímovský (1987)
Fundamenta Mathematicae
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Michael David Rice (1977)
Czechoslovak Mathematical Journal
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