## A DECOMPOSITION OF CONTINUITY E. HATIR (Konya), T. NOIRI (Yatsushiro) and S. Y[)KSEL (Konya)
A decomposition of continuity and α-continuity
✍ Scribed by M. Przemski
- Publisher
- Akadmiai Kiad
- Year
- 1993
- Tongue
- English
- Weight
- 352 KB
- Volume
- 61
- Category
- Article
- ISSN
- 1588-2632
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📜 SIMILAR VOLUMES
The concepts of -continuity and c -continuity are considered and studied in fuzzifying topology and by making use of these concepts, some decompositions of fuzzy continuity are introduced. It is proved that the family of all -sets in fuzzifying topology may not be a fuzzifying topology.
Let G be a locally compact commutative group and let g and h be positive definite functions on G, which are not identically zero. We show that continuity of gh implies the existence of a character y of Gd (the discrete version of G) such that yg and y h are continuous. As corollary we get a special