Abstract

In this paper, we discuss diagonal properties of Mrówka spaces. We prove that: (1) Let A be an infinite maximal almost disjoint family on ω. If B⊆A is of size <a, then the Mrówka space Ψ(A∖B) does not have a regular Gδ-diagonal. (2) If A is a Luzin family, then the Mrówka space Ψ(A) does not have a regular Gδ-diagonal.

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