Two notions of local precompactness in the realm of fuzzy convergence spaces are investigated. It is shown that the property of local precompactness possesses a ''good extension.'' Moreover, for each given fuzzy convergence space, there exists a coarsest locally precompact space which is finer than
Compactness in fuzzy convergence spaces
✍ Scribed by Gunther Jäger
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 534 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
✦ Synopsis
Lowen and Lowen [Applications of
📜 SIMILAR VOLUMES
Besides compactness the weaker notion of relative compactness plays an important role in topology. This paper generalizes a definition of relative compactness given by Chadwick [1] for fuzzy topological spaces to fuzzy convergence spaces as studied by the author ([4-6,8]). We prove that it is a "goo
The notion of Q -compact fuzzy topological spaces was ÿrst introduced by Zhongfu (Kexue Tongbao 29(5) (1984) 582-585). In this paper we extend this notion to fuzzy supra topological spaces and study some of their properties. We also introduce the notion of fuzzy Q -almost compact (Q -almost supracom