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math.GN2022
Invariant Ideal Axiom
Michael Hrušák, Alexander Shibakov
We introduce and prove the consistency of a new set theoretic axiom we call the \emph{Invariant Ideal Axiom}. The axiom enables us to provide (consistently) a full topological clas…
math.GN2020
Maximal almost disjoint families and pseudocompactness of hyperspaces
Osvaldo Guzmán, Michael Hrušák, Vinicius de Oliveira Rodrigues +2
We show that all maximal almost disjoint families have pseudocompact Vietoris hyperspace if and only if holds. We further stu…