2010/07/24 by Hans-Joachim Baues, Baues, Hans-Joachim, Beatrice Bleile +1
Mathematics · #55P05 #55P40 #55Q15 #55Q35 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55P05 #msc:55P40 #msc:55Q15 #msc:55Q35
paper · pdf · doi:10.48550/arxiv.1007.4254
10 pages
arxiv created 2010/07/24 · openalex publication_date 2010/07/24 · arxiv updated 2010/07/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the monoid of essential self-maps of of the product of two n-spheres fixing the diagonal. More generally, we consider products S x S, where S is a suspension. Essential self-maps of S x S demonstrate the interplay between the pinching action for a mapping cone and the fundamental action on homotopy classes under a space. We compute examples with non-trivial fundamental actions.