Displaying similar documents to “A uniform structure for topological spaces”

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)

Completion as reflection

H. L. Bentley, Horst Herrlich (1978)

Commentationes Mathematicae Universitatis Carolinae

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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.