Study on Weakly m-semi-I-Open Sets in Minimal Spaces

In 2001, Popa and Noiri introduced the notions of minimal structure and m-continuous function as a function defined between a minimal structure and a topological space. In this chapter, we introduce and study the notions of weakly m-semi-I-open sets, weakly m-semi-I-closed sets, weakly m-semi-I-continuity and their related notions in minimal spaces. We prove that any subset of a minimal structure is a weakly m-semi-I-open set if and only if it is a m- -I-open set. The arbitrary union of weakly m-semi-I-open sets is a weakly m-semi-I-open set and finite intersection of weakly m-semi-I-open sets is a weakly m-semi-I-open set. Also we investigate the decomposition of weakly m-semi-I-open set.