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Currently displaying 1 – 3 of 3

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Linear topological classifications of certain function spaces. II.

Valov, Vesko M. — 1993

Mathematica Pannonica

Some properties of $C_{p} (X)$

Vesko M. Valov — 1986

Commentationes Mathematicae Universitatis Carolinae

Generalized tri-quotient maps and Čech-completeness

Themba Dube; Vesko 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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