Abstract:

Topologists are known to have developed a variety of topologies. Fine topology, supra topology, ideal topology, fuzzy topology, nano topology and micro topology were initiated in 2019, also in micro topology some different types of sets were introduced, like micro (semi-open, pre-open, α-open, β- open, … etc.) sets and their properties with operators have been given in numerous articles. In this work, a new powerful form of micro-semi-open sets called micro-S_p-open sets are proposed, some of its features are verified as well as their relationships to other micro-open sets, and the idea of micro-S_p-continuity and comparison with others is introduced micro continuity concepts.

Key words: Micro semi-open set, Micro S_p-continuous, Micro S_p-open sets, Micro topological spaces.