On Strongly Irresolute Mappings

Abstract

Strongly irresolute 함수라는 새로운 함수를 도입하여, 성질 및 기본적인 대수적 성질을 연구한다. 더우기, 알려진 s-연결성, s-조밀성 등과의 관계를 갖는 성질들을 알아본다.

In this note, a mapping ∫: X→Y is introduced to be strongly irresolute iff ∫(scl A)⊂∫(A) for all subsets A of X, where scl A means the semi-closure［1］of A in X. Some characterizations of these mappings are established and some of its basic algebraic properties are investigated. Further, some of its properties related to other known concepts, viz., scompactness, are discussed.

In this note, a mapping ∫: X→Y is introduced to be strongly irresolute iff ∫(scl A)⊂∫(A) for all subsets A of X, where scl A means the semi-closure［1］of A in X. Some characterizations of these mappings are established and some of its basic algebraic properties are investigated. Further, some of its properties related to other known concepts, viz., scompactness, are discussed.