Convergence of a sequence of fixed points in a uniform space
S. P. Acharya (1976)
Matematički Vesnik
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S. P. Acharya (1976)
Matematički Vesnik
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Luisa Pedemonte (1975)
Colloquium Mathematicae
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Leonede De-Michele (1978)
Colloquium Mathematicae
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Paolo Maurizio Soardi, Giancarlo Travaglini (1981)
Colloquium 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.
Pavel Kostyrko (1981)
Mathematica Slovaca
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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.
Louis Nachman (1969)
Fundamenta Mathematicae
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Péter Kórus, Ferenc Móricz (2012)
Studia Mathematica
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Lee, Y.J., Windels, B. (2002)
International Journal of Mathematics and Mathematical Sciences
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E. Alfsen, O. Njastad (1963)
Fundamenta Mathematicae
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