Properties of s-connected spaces

Abstract

이 논문에서는 s-연결 공간의 여러가지 성질을 알아보고 논문 ［7］의 몇 가지 결과들을 일반화한다.

Two subsets A and B of a topological space X are said to be semiseparated iff A∩scl(B)=Φ=scl(A)∩B and X is said to be s-connected iff it can not be expressed as a union of two nonempty semiseparated sets. The present paper will give some properties and characterizations of s-connected spaces and some results in ［7］are improved.

Two subsets A and B of a topological space X are said to be semiseparated iff A∩scl(B)=Φ=scl(A)∩B and X is said to be s-connected iff it can not be expressed as a union of two nonempty semiseparated sets. The present paper will give some properties and characterizations of s-connected spaces and some results in ［7］are improved.