Characterization of Function-E-Chainble Sets in Topological Space

Abstract

In this paper we introduce the concept of function-E-chain between two sets in topological spaces through continuous function which is the extension of function-E-chain between two points of the space. Simple characterization of function-?-chainable sets in terms of function –E-chains between their points has been established. In case of metric space, the equivalence of E-chainability and function-E-chainability of sets is also established in this paper. Further some results of [1] have been generalized.

Subject Classification: AMS (2000):54A99