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Keywords:
Čech-complete spaces; Lindelöf spaces; tri-quotient maps
Čech-complete spaces; Lindelöf spaces; tri-quotient maps
Summary:
For a topological space $X$ let $\Cal K (X)$ 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 $\Cal K (X)$. 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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