Geodesic
Čech complete nearness spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 315-328 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We study Čech complete and strongly Čech complete topological spaces, as well as extensions of topological spaces having these properties. Since these two types of completeness are defined by means of covering properties, it is quite natural that they should have a convenient formulation in the setting of nearness spaces and that in that setting these formulations should lead to new insights and results. Our objective here is to give an internal characterization of (and to study) those nearness structures which are induced by topological extensions of the two above mentioned types.
We study Čech complete and strongly Čech complete topological spaces, as well as extensions of topological spaces having these properties. Since these two types of completeness are defined by means of covering properties, it is quite natural that they should have a convenient formulation in the setting of nearness spaces and that in that setting these formulations should lead to new insights and results. Our objective here is to give an internal characterization of (and to study) those nearness structures which are induced by topological extensions of the two above mentioned types.
Classification : 54B30, 54D20, 54D30, 54E17
Keywords: Čech complete; strongly Čech complete; nearness space 
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Bentley, H. L.; Hunsaker, W. N. Čech complete nearness spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 315-328. http://geodesic.mathdoc.fr/item/CMUC_1992_33_2_a12/

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