Uniform completeness of topological spaces
W. Kulpa (1976)
Colloquium Mathematicae
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W. Kulpa (1976)
Colloquium Mathematicae
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S. P. Acharya (1976)
Matematički Vesnik
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Luisa Pedemonte (1975)
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Leonede De-Michele (1978)
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Paolo Maurizio Soardi, Giancarlo Travaglini (1981)
Colloquium Mathematicae
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Edwin Wagner (1967)
Studia Mathematica
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Alexander Abian (1978)
Archivum Mathematicum
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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.
H.-P. Butzmann, M. Schroder (1990)
Mathematica Scandinavica
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Pavel Kostyrko (1981)
Mathematica Slovaca
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