Abstract

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-\(\delta\)-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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.