## Abstract The main purpose of this paper is to investigate constructively the relationship between proximal convergence, uniform sequential convergence and uniform convergence for sequences of mappings between apartness spaces. It is also shown that if the second space satisfies the Efremovic axi
Metrization of the Uniform Space and Effective Convergence
โ Scribed by Mariko Yasugi; Yoshiki Tsujii; Takakazu Mori
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 142 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A fuzzy neighborhood space is said to be pseudometrizable if, and only if, the associated fuzzy topology is induced by a probabilistic pseudometric under A . By the aid of the concept of quasi-inverse functions it will be shown that a fuzzy neighborhood space is pseudometrizable if. and only if, ev
## Abstract We study the role that the axiom of choice plays in Tychonoff's product theorem restricted to countable families of compact, as well as, Lindelรถf metric spaces, and in disjoint topological unions of countably many such spaces. (ยฉ 2004 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
where the interface bRl n R = bR2 n R is a "regular" surface with minimal area. This problem has been analyzed, among others, by De Giorgi, Franzone, and Ambrogio in [3] and[4], Can, Gurtin, and Slemrod in [2], Alikakos and Shaing in [l], Modica in [7], Modica and Mortola in [8], Kohn and Sternberg