Abstract

We introduce and discuss the notions of minimal λco-open sets in topological spaces. We establish some of it basic fundamental properties of minimal λco-open. We show that the notions of minimal open sets and minimal λco-open are independent and finally we obtain some application of a minimal λco-open sets.

Highlights

  • The study of semi open sets in topological spaces was initiated by Levine [12]

  • Stone [29], defined regular closed set, a subset A is said to be regular-closed if A = Cl(Int(A))

  • Ogata [26] introduced the concept of γ-open sets and investigated the related topological properties of the associated topology τγ and τ

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Summary

Introduction

The study of semi open sets in topological spaces was initiated by Levine [12]. The complement of a subset A of X is denoted by X \ A. P., [28] defined clopen set, a subset A of a topological space (X, τ ) is said to be clopen if A is open and closed. He introduced γclosed graph of a function Using this operation, Ogata [26] introduced the concept of γ-open sets and investigated the related topological properties of the associated topology τγ and τ. Ogata [26] introduced the concept of γ-open sets and investigated the related topological properties of the associated topology τγ and τ He further investigated general operator approaches of closed graph of mappings. They work in operation in topology in [16], [8], [17], [9], [10], [18], [11], [19], [20], [21],[22], [23] They defined λβc-open set[15] by using s-operation and β-closed set and investigated several properties of λβc-derived, λβc-interior and λβc-closure points in topological spaces. We recall some definitions and results used in this paper

Preliminaries
Minimal λco-Open Sets
Finite λco-Open Sets
More Properties
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