Abstract

In General Topology, there exist useful theorems on the existence of partitions of unity for paracompact regular spaces (and also for normal spaces). In this paper, we define the notion of fuzzy partition of unity and we obtain some results about this concept.

Keywords: Fuzzy topology, partition of unity, $r$-paracompact and $S$-paracompact fuzzy topological spaces, weak inducement, normality.

MSC: 54A40, 03E72

Pages:  13$-$15     

Volume  56 ,  Issue  1$-$2 ,  2004