2023/05/13 by Omer Ben-Neria, Ben-Neria, Omer, Kivimäki, Siiri +4 · 1 citation
Mathematics · #03E05 #03E35 #03E40 #03E55 #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.2305.07880
openalex publication_date 2023/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03
Assuming the consistency of a weakly compact cardinal above a regular uncountable cardinal μ, we prove the consistency of the existence of a wide μ+-Aronszajn tree, i.e. a tree of height and cardinality μ+ with no branches of length μ+, into which every wide μ+-Aronszajn tree can be embedded.