Various concepts related to smooth topological spaces have been introduced, and relations among them studied by several authors [-2-6]. In this paper we introduce the notions of smooth, quasi-smooth and weak smooth structure, showing that various properties of a smooth topological space can be expre
Neighborhood structures of smooth topological spaces
โ Scribed by Mustafa Demirci
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 301 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0165-0114
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โฆ Synopsis
Smooth topological spaces and their fundamental concepts have been discussed in the literature E2, 4-7]. In this paper, we present the notions of base and two sorts of neighborhood structure of smooth topological spaces and give some of their properties which are results in J'3] extended to smooth topological spaces.
๐ SIMILAR VOLUMES
The smooth closure and smooth interior of a fuzzy set w.r.t. a smooth topology were defined by Gayyar et al. (1994), and some relations between a few types of compactness were established in the presence of strong restrictions. In this paper, by constructing new definitions of smooth closure and smo