On Micro Pre-Neighborhoods in Micro Topological Spaces

Abstract

Objective: The basic objective of this article is to introduce and investigate the properties of micro pre-neighborhoods, micro pre-interior, micro pre-closure and micro pre-limit points. Methods: Using the concept of micro pre-open, micro pre-closed and micro pre-derived sets the result of the paper is obtained. Findings: In this article the properties and characterization of pre-open sets and pre-closed sets were opted on Micro topological space. Novelty: The relation between the characterization of micro pre-open sets, micro pre-closed sets and micro pre-derived sets were shown. AMS Subject Classifications: 54B05 Keywords: Micro topology, Micro pre-interior, Micro pre-closure, Micro pre-neighborhoods, Micro pre-limit points