Geodesic
Uniformly Metrizable Bornologies
Journal of convex analysis, Tome 20 (2013) no. 1, pp. 285-299.

Voir la notice de l'article provenant de la source Heldermann Verlag

This paper is devoted to study the following question: given a bornology B on a metric space (X,d), when is there a metric d' on X, uniformly equivalent to d, for which the bornology of d'-bounded sets coincides with B ? If that happens, we will say that B is uniformly metrizable. We characterize these kinds of bornologies on X, and we obtain necessary and sufficient conditions in order to some of the most common bornologies enjoy this property. More precisely, we will consider the compact bornology, the totally bounded bornology and the bornology of the Bourbaki-bounded sets.
Classification : 54E35, 54E45, 46A17
Mots-clés : Metric bounded sets, bornological universe, totally-bounded sets, Bourbaki-bounded sets, uniform equivalent metrics 
@article{JCA_2013_20_1_JCA_2013_20_1_a17,
     author = {I. Garrido and A. S. Merono},
     title = {Uniformly {Metrizable} {Bornologies}},
     journal = {Journal of convex analysis},
     pages = {285--299},
     publisher = {mathdoc},
     volume = {20},
     number = {1},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a17/}
}
TY  - JOUR
AU  - I. Garrido
AU  - A. S. Merono
TI  - Uniformly Metrizable Bornologies
JO  - Journal of convex analysis
PY  - 2013
SP  - 285
EP  - 299
VL  - 20
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a17/
ID  - JCA_2013_20_1_JCA_2013_20_1_a17
ER  - 
%0 Journal Article
%A I. Garrido
%A A. S. Merono
%T Uniformly Metrizable Bornologies
%J Journal of convex analysis
%D 2013
%P 285-299
%V 20
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a17/
%F JCA_2013_20_1_JCA_2013_20_1_a17
I. Garrido; A. S. Merono. Uniformly Metrizable Bornologies. Journal of convex analysis, Tome 20 (2013) no. 1, pp. 285-299. http://geodesic.mathdoc.fr/item/JCA_2013_20_1_JCA_2013_20_1_a17/