Displaying similar documents to “Uniform completeness of topological spaces”

Equicontinuity, shadowing and distality in general topological spaces

Huoyun Wang (2020)

Czechoslovak Mathematical Journal

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We consider the notions of equicontinuity point, sensitivity point and so on from a topological point of view. Many of these notions can be sensibly defined either in terms of (finite) open covers or uniformities. We show that for the notions of equicontinuity point and sensitivity point, Hausdorff or uniform versions coincide in compact Hausdorff spaces and are equivalent to the standard definitions stated in terms of a metric in compact metric spaces. We prove that a uniformly chain...

Doitchin Doitchinov - Biographical data

Doitchinov, Doitchin (1998)

Serdica Mathematical Journal

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Doitchin Doitchinov - Biographical data (pp. iv-v), List of publications (pp. vi-viii)

Multipliers of Uniform Topological Algebras

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.

Uniform topology onEQ-algebras

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.