Set-set topologies and semitopological groups.
Porter, Kathryn F. (1989)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Compactification of Products”
Set-set topologies and semitopological groups.
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Mihail G. Tkachenko (1984)
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Normal Vietoris implies compactness: a short proof
G. Di Maio, E. Meccariello, Somashekhar Naimpally (2004)
Czechoslovak Mathematical Journal
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One of the most celebrated results in the theory of hyperspaces says that if the Vietoris topology on the family of all nonempty closed subsets of a given space is normal, then the space is compact (Ivanova-Keesling-Velichko). The known proofs use cardinality arguments and are long. In this paper we present a short proof using known results concerning Hausdorff uniformities.