2018/03/31 by Daisuke Kishimoto, Akira Kono
Mathematics · #Advanced Operator Algebra Research #Bott periodicity theorem #Cofibration #Gauge (firearms) #Geometric and Algebraic Topology #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy group #Order (exchange) #Product (mathematics) #math.AT #n-connected
paper · pdf · doi:10.2140/agt.2019.19.491
published as Algebr. Geom. Topol. 19 (2019) 491-502 · 9 pages
openalex created_date 2018/03/29 · arxiv created 2018/05/17 · openalex publication_date 2019/02/06 · arxiv updated 2019/02/13 · openalex updated_date 2026/08/05
Let [math] be the gauge group of the principal [math] –bundle over [math] corresponding to [math] . We refine the result of Sutherland on the homotopy types of [math] and relate it to the order of a certain Samelson product in [math] . Then we classify the [math] –local homotopy types of [math] for [math] .