Supercomplete topological spaces |
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| Authors: | D. Buhagiar B. A. Pasynkov |
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| Affiliation: | (1) Department of Mathematics, University of Malta, Msida, MSD. 06, Malta;(2) Mechanics and Mathematics Faculty, Moscow State University, 119899 Moscow, Russia |
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| Abstract: | Supercomplete topological spaces and other variants of supercompleteness are defined in this paper. The main idea is to give different characterizations of Čech complete spaces. In particular it is shown that for paracompacta (and so for metrizable spaces) and topological groups the two notions of supercompleteness and Čech completeness coincide. |
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| Keywords: | Č ech completeness supercompleteness local compactness |
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