Geodesic
Measures of compactness in approach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 327-345.

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

We investigate whether in the setting of approach spaces there exist measures of relative compactness, (relative) sequential compactness and (relative) countable compactness in the same vein as Kuratowski's measure of compactness. The answer is yes. Not only can we prove that such measures exist, but we can give usable formulas for them and we can prove that they behave nicely with respect to each other in the same way as the classical notions.
Classification : 54A05, 54E99
Keywords: approach space; compactness 
@article{CMUC_1995__36_2_a11,
     author = {Baekeland, R. and Lowen, R.},
     title = {Measures of compactness in approach spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {327--345},
     publisher = {mathdoc},
     volume = {36},
     number = {2},
     year = {1995},
     mrnumber = {1357533},
     zbl = {0838.54020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a11/}
}
TY  - JOUR
AU  - Baekeland, R.
AU  - Lowen, R.
TI  - Measures of compactness in approach spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1995
SP  - 327
EP  - 345
VL  - 36
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a11/
LA  - en
ID  - CMUC_1995__36_2_a11
ER  - 
%0 Journal Article
%A Baekeland, R.
%A Lowen, R.
%T Measures of compactness in approach spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 1995
%P 327-345
%V 36
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a11/
%G en
%F CMUC_1995__36_2_a11
Baekeland, R.; Lowen, R. Measures of compactness in approach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 2, pp. 327-345. http://geodesic.mathdoc.fr/item/CMUC_1995__36_2_a11/