2019/09/16 by Malte Lackmann, Lackmann, Malte
Mathematics · #55M99 #57N65 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic and Geometric Analysis #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1909.07047
openalex publication_date 2019/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This small note, without claim of originality, constructs the projective plane over the octonionic numbers and recalls how this can be used to rule out the existence of higher-dimensional real division algebras, using Adams' solution of the Hopf invariant 1 problem.