Open AccessDelta – Open Sets And Delta – Continuous Functions
Author(s) -
Raja Mohammad Latif
Publication year - 2021
Publication title -
international journal of pure mathematics
Language(s) - English
Resource type - Journals
ISSN - 2313-0571
DOI - 10.46300/91019.2021.8.1
Subject(s) - closure (psychology) , topological space , closed set , open set , set (abstract data type) , space (punctuation) , mathematics , pure mathematics , topology (electrical circuits) , computer science , combinatorics , economics , market economy , programming language , operating system
In 1968 Velicko [30] introduced the concepts of δ-closure and δ-interior operations. We introduce and study properties of δ-derived, δ-border, δ-frontier and δ-exterior of a set using the concept of δ-open sets. We also introduce some new classes of topological spaces in terms of the concept of δ-D- sets and investigate some of their fundamental properties. Moreover, we investigate and study some further properties of the well-known notions of δ-closure and δ-interior of a set in a topological space. We also introduce δ-R0 space and study its characteristics. We also introduce δ-R0 space and study its characteristics. We introduce δ-irresolute, δ-closed, pre-δ-open and pre -δ-closed mappings and investigate properties and characterizations of these new types of mappings and also explore further properties of the well-known notions of δ-continuous and δ-open mappings.