2015/06/02 by Sergei O. Ivanov, Roman Mikhailov, Jie Wu · 6 citations
Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Geometric and Algebraic Topology #Group (periodic table) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy group #Homotopy sphere #Mathematics #Philosophy #Physics #Pure mathematics #Quantum mechanics #SPHERES #Zero (linguistics) #math.AT
paper · pdf · doi:10.4310/hha.2016.v18.n2.a18
published in Homology Homotopy and Applications 18(2), 337-344 (Lehigh University) · 8 pages
arxiv created 2015/06/02 · openalex publication_date 2016/01/01 · openalex created_date 2016/11/30 · arxiv updated 2022/02/23 · openalex updated_date 2026/06/11
We provide an alternative proof of Gray's result that, for an odd prime p, there is a non-trivial Z/p-component in the homotopy group (2p-2)n+1 (S 3 ). As a corollary, it follows that, for n 2, the homotopy groups n (S 2 ) are non-zero.