ON ISOLATED POINTS OF THE THIN SUPERKERNEL OF COMPACT SPACES

In this work, we study some properties of the set of isolated points of the thin superkernel of compact spaces.We prove that for a T 1 -space, we have that I (λX) ⊂ λ * X, i.e. each isolated point in λX must be a thin maximal linked system.Also prove that for an infinite compact space X with I(X) = ∅, then I (λX) = ∅, i.e. if X is a pointless space, then its superextension λX is also pointless.

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