A uniform structure for topological spaces
Alexander Abian (1978)
Archivum Mathematicum
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Alexander Abian (1978)
Archivum Mathematicum
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Tempczyk, Wacława (2015-11-10T18:17:47Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Doitchinov, Doitchin (1998)
Serdica Mathematical Journal
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Doitchin Doitchinov - Biographical data (pp. iv-v), List of publications (pp. vi-viii)
J. Reiterman, J. Adamek, G.E. Strecker (1985)
Manuscripta mathematica
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Mohammed El Azhari (2017)
Annales Mathematicae Silesianae
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Let E be a complete uniform topological algebra with Arens-Michael normed factors [...] within an algebra isomorphism ϕ. If each factor Eα is complete, then every multiplier of E is continuous and ϕ is a topological algebra isomorphism where M(E) is endowed with its seminorm topology.
G. J. Michaelides (1975)
Colloquium Mathematicae
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P. Doyle (1975)
Fundamenta Mathematicae
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Jiang Yang, Xiao Long Xin, Peng Fei He (2017)
Open Mathematics
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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. In particular, we show that (E, 𝒯) is a first-countable, zero-dimensional, disconnected and completely regular space. Finally, by using convergence of nets, the convergence of topological EQ-algebras is obtained.
J. Anusiak, K. P. Shum (1971)
Colloquium Mathematicae
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Eric K. van Douwen (1979)
Colloquium Mathematicae
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T. Nadzieja, J. Šiska (1988)
Applicationes Mathematicae
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Nat Friedman (2001)
Visual Mathematics
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Nat Friedman (2006)
Visual Mathematics
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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...