On Fuzzy Star Refinement of Open Covering and imensions of Fuzzy Topological Spaces

Abstract

In this paper the concepts of star-refinement and strongly star-refinement of covering are extended to fuzzy topological space in the sense of Chang, basic theorem for covering dimension of normal fuzzy topological space is proved. Also, the small inductive dimension function is extended to fuzzy topological space, and some results for this inductive dimension in Chang’s space are obtained.