2015/03/25 by Carrasquel-Vera, J. G.
#55M30 #55P62 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1503.07314
We give a simple algebraic characterisation of the sectional category of rational maps admitting a homotopy retraction. As a particular case we get the Félix-Halperin theorem for rational Lusternik-Schnirelmann category and prove the conjecture of Jessup-Murillo-Parent on rational topological complexity. We also give a characterisation for relative category in the sense of Doeraene-El Haouari.