The completeness of the homeomorphisms group of a complete space
Andrzej Hulanicki (1958)
Colloquium Mathematicae
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Andrzej Hulanicki (1958)
Colloquium Mathematicae
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Yang, J.S. (1971)
Portugaliae mathematica
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Giuliano Artico, Roberto Moresco (1980)
Rendiconti del Seminario Matematico della Università di Padova
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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. L. Bentley, Worthen N. Hunsaker (1992)
Commentationes Mathematicae Universitatis Carolinae
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We study Čech complete and strongly Čech complete topological spaces, as well as extensions of topological spaces having these properties. Since these two types of completeness are defined by means of covering properties, it is quite natural that they should have a convenient formulation in the setting of nearness spaces and that in that setting these formulations should lead to new insights and results. Our objective here is to give an internal characterization of (and to study) those...
Pu, H.W., Pu, H.H. (1975)
Portugaliae mathematica
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Lowen, Robert, Windels, Bart (2000)
International Journal of Mathematics and Mathematical Sciences
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Reed, E.E. (1971)
Portugaliae mathematica
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