Generalized tri-quotient maps and Čech-completeness
Dube, Themba ; Valov, Vesko M.
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 187-194 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2001-01-01
Classification:  54C10,  54C60 
@article{119233,
     author = {Themba Dube and Vesko M. Valov},
     title = {Generalized tri-quotient maps and \v Cech-completeness},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {187-194},
     zbl = {1053.54021},
     mrnumber = {1825382},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119233}
}

Dube, Themba; Valov, Vesko M. Generalized tri-quotient maps and Čech-completeness. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 187-194. http://gdmltest.u-ga.fr/item/119233/

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