2014/05/27 by Jesús González, González, Jesús, Mark Grant +3 · 3 citations
Computer Science · Mathematics · #55M30 #55Q25 #55S36 #68T40 #70B15 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.1405.6891
openalex publication_date 2014/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a theory of generalized Hopf invariants in the setting of\nsectional category. In particular we show how Hopf invariants for a product of\nfibrations can be identified as shuffle joins of Hopf invariants for the\nfactors. Our results are applied in the study of Farber's topological\ncomplexity for 2-cell complexes, as well as in the construction of a\ncounter-example to the analogue for topological complexity of Ganea's\nconjecture on Lusternik-Schnirelmann category.\n