2023/03/08 by Akio Kawauchi, Kawauchi, Akio
Mathematics · #57M20 #57Q45 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematics and Applications #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.2303.04368
openalex publication_date 2023/03/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Whitehead aspherical conjecture says that every connected subcomplex of every aspherical 2-complex is aspherical. By an argument on ribbon sphere-links, it is confirmed that the conjecture is true for every contractible finite 2-complex. In this paper, by generalizing this argument, this conjecture is confirmed to be true for every aspherical 2-complex.