In the present paper, we shall characterize N-spaces and g-metrizable spaces by a CF family, and we shall generalize some theorems of Mizokatni (1990). 0 1998 Elsevier Science B.V.
k*-Metrizable spaces and their applications
β Scribed by T. O. Banakh; V. I. Bogachev; A. V. Kolesnikov
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 651 KB
- Volume
- 155
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
In this paper we define and study MT-maps, which are the fibrewise topological analogue of metrizable spaces, i.e., the extension of metrizability from the category Top to the category Top Y . Several characterizations and properties of MT-maps are proved. The notion of an MT-space as an MT-map prei
## Abstract Let __E__ be a Banach space and Ξ¦ : __E__ β β a π^1^βfunctional. Let π« be a family of semiβnorms on __E__ which separates points and generates a (possibly nonβmetrizable) topology π―~π«~ on __E__ weaker than the norm topology. This is a special case of a gage space, that is, a topological