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Encounter to the additive property of local function

Kulchhum Khatun, Shyamapada Modak, Monoj Kumar Das

Abstract

Through this paper we will modify some of the results of [1], [5], [15], [28], [29], [31], [32] and consequently give the modified results.

Encounter to the additive property of local function

Abstract

Through this paper we will modify some of the results of [1], [5], [15], [28], [29], [31], [32] and consequently give the modified results.

Paper Structure

This paper contains 4 sections, 8 theorems.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Additive property of local function
  4. Additive property of closure local function

Key Result

Lemma 3.1

JH1990K1933 Let $\mathbb{I}_X$ be an ideal topological space. Then for $A, B\in \wp (X)$, $(A\cup B)^{\star}= A^{\star}\cup B^{\star}$.

Theorems & Definitions (8)

  • Lemma 3.1
  • Lemma 3.2
  • Lemma 3.4
  • Lemma 3.5
  • Theorem 3.9
  • Theorem 4.1
  • Theorem 4.5
  • Theorem 4.6