𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Separation properties of induced I(L)-topological spaces

✍ Scribed by Geping Wang; Xiaoyong Xi; Lanfang Hu


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
238 KB
Volume
140
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis


The concept of induced I(L)-topological spaces has been introduced by Kubiak (Ph.D. Thesis, UAM, Poznan, 1985) and independently by Wang (Kexue Tongbao 34 (5) (1989) 333). In this paper, the separation properties in the sense of Hutton-Reilly of induced I(L)-topological spaces are investigated. The main result of the paper is a characterization of L-topological spaces by means of the appropriate Hutton-Reilly separation properties of its induced I(L)-topological space.


πŸ“œ SIMILAR VOLUMES


On compactness of induced I(L)-fuzzy top
✍ Yixiang Chen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 432 KB

The induced I(L)-fuzzy topological spaces for L-fuzzy topological spaces introduced by Wang Geping is a kind of important fuzzy topological space. In this paper, the author studies the fuzzy compactness of induced I(L)-fuzzy topological spaces. Some available relations between molecular nets of an L

Completely induced L-fuzzy topological s
✍ Halis AygΓΌn; M.W. Warner; S.R.T. Kudri πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 838 KB

The first aim of this paper is to introduce and to study the concepts of 'complete Scott continuity' and 'completely induced L-fuzzy topological space'. The second is to discuss the connections between some separation, countability and covering properties of an ordinary topological space and its cor

Separation axioms in L-fuzzy topological
✍ Sheng-Gang Li πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 125 KB

Using the notion of remote neighborhood, we deΓΏne the separation axioms T0 and T1 in L-fuzzy topological spaces (L-fts). The relations between our deΓΏnitions, Hutton and Reilly's, and Wang's are discussed, and the separations of Hutton's fuzzy unit interval and Gantner's fuzzy real line are examined

A set of new separation axioms in L-fuzz
✍ Fang Jin-xuan; Ren Bai-lin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 550 KB

In this paper, a set of new separation axioms in L-fuzzy topological spaces are defined and studied. We give several characterizations of these separation axioms and discuss certain relationships among them. Moreover, some of their basic properties are also examined.