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Generalized tri-quotient maps and Čech-completeness

Themba DubeVesko M. Valov — 2001

Commentationes Mathematicae Universitatis Carolinae

For a topological space X let 𝒦 ( X ) be the set of all compact subsets of X . The purpose of this paper is to characterize Lindelöf Čech-complete spaces X by means of the sets 𝒦 ( X ) . Similar characterizations also hold for Lindelöf locally compact X , as well as for countably K -determined spaces X . Our results extend a classical result of J. Christensen.

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