\mathfrakc-many types of a Ψ-space

2018/05/31 by Hector A. Barriga-Acosta, Barriga-Acosta, Hector Alonzo, Fernando Hernández‐Hernández +1
Mathematics · Medicine · #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications

paper · pdf · doi:10.48550/arxiv.1806.00106

Abstract

We show that for any cardinal ω ω, there are \mathfrakc many AD families whose Ψ-spaces are pairwise non-homeomorphic and they can be Luzin families or branch families of 2^ω.

Related

• Weak normality properties in Ψ-spaces
• Madness and (weak) normality
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• Luzin and anti-Luzin almost disjoint families
• Special sets of reals and weak forms of normality on Isbell-Mrówka spaces