2025/12/01 by Juan Carlos Martínez, Martínez, Juan Carlos, Lajos Soukup +1
Mathematics · Computer Science · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #Advanced Banach Space Theory
paper · pdf · doi:10.48550/arxiv.2512.01418
We prove that if λ is a fixed uncountable cardinal and f = ⟨ \ka\al : \al < δ⟩ is a sequence of infinite cardinals where δ< ω3 and \ka\al∈ \\om,λ\ for each \al < δ in such a way that f-1\\om\ is \om2-closed in δ, then it is consistent that there is a scattered Boolean space whose cardinal sequence is f.