Abstract

This paper is concerned with the concepts of s(Λ, sp)-open sets, p(Λ, sp)-open sets, α(Λ, sp)-open sets, β(Λ, sp)-open sets and b(Λ, sp)-open sets. Some properties of s(Λ, sp)-open sets, p(Λ, sp)-open sets, α(Λ, sp)-open sets, β(Λ, sp)-open sets and b(Λ, sp)-open sets are discussed. In particular, the relationships between s(Λ, sp)-open sets, p(Λ, sp)-open sets, α(Λ, sp)-open sets, β(Λ, sp)-open sets, b(Λ, sp)-open sets and other related sets are established. Moreover, several characterizations of Λsp-extremally disconnected spaces are investigated.

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