Geodesic
Čech complete nearness spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 2, pp. 315-328

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{CMUC_1992__33_2_a12,
     author = {Bentley, H. L. and Hunsaker, W. N.},
     title = {\v{C}ech complete nearness spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {315--328},
     publisher = {mathdoc},
     volume = {33},
     number = {2},
     year = {1992},
     mrnumber = {1189663},
     zbl = {0766.54026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a12/}
}
TY  - JOUR
AU  - Bentley, H. L.
AU  - Hunsaker, W. N.
TI  - Čech complete nearness spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1992
SP  - 315
EP  - 328
VL  - 33
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a12/
LA  - en
ID  - CMUC_1992__33_2_a12
ER  - 
%0 Journal Article
%A Bentley, H. L.
%A Hunsaker, W. N.
%T Čech complete nearness spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 1992
%P 315-328
%V 33
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1992__33_2_a12/
%G en
%F CMUC_1992__33_2_a12
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/