Ekeland's principle for vector-valued maps based on the characterization of uniform spaces via families of generalized quasi-metrics.
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Benbrik, A., Mbarki, A., Lahrech, S., Ouahab, A. (2006)
Lobachevskii Journal of Mathematics
Gilles Royer, Alain Louveau (1968/1969)
Séminaire Choquet. Initiation à l'analyse
P. Fletcher, W. Hunsaker (1991)
Monatshefte für Mathematik
Vilímovský, Jiří (1982)
Proceedings of the 10th Winter School on Abstract Analysis
G. C. L. Brummer, E. Giuli, H. Herrlich (1992)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Rice, Michael D. (1978)
Seminar Uniform Spaces
Jean-Marc Cordier (1971)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Ali Deaibes (1975)
Publications du Département de mathématiques (Lyon)
R. Ayala, E. Dominguez, A. Quintero (1988)
Publicacions Matemàtiques
The purpose of this note is to prove the exponential law for uniformly continuous proper maps.
T. Gantner (1970)
Fundamenta Mathematicae
Igor V. Protasov (2007)
Commentationes Mathematicae Universitatis Carolinae
A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant of a ballean, the extraresolvability, which is an asymptotic reflection of the corresponding invariant of a topological space.
Gerhard Preuß (1970)
Manuscripta mathematica
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