2023/01/19 by Pedro E. Marun, Marun, Pedro E.
Mathematics · #03E04 (Secondary) #03E05 (Primary) #54B10 #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2301.08233
openalex publication_date 2023/01/19 · openalex created_date 2023/01/21 · openalex updated_date 2026/07/28
We prove that every weakly square compact cardinal is a strong limit cardinal. We also study Aronszajn trees with no uncountable finitely branching subtrees, characterizing them in terms of being Lindelöf with respect to a particular topology. We prove that the class of such trees lies between the classes of Suslin and Aronszajn trees, and that the inclusions can consistently be strict.