On α*-Sets and a Decomposition Theorem

Abstract

We define a new family of sets in a space with a weak structure and give a decomposition of (ω,ώ)-continuity, a generalization of a decomposition of continuous functions.

Key words and phrases. weak structure, ω-open and ω-closed sets, generalized open sets of weak structures, generalized topology and quasi-topology.

2000 Mathematics Subject Classification. 54A05, 54C08