Bounds for higher topological complexity of real projective space implied by BP

2018/01/18 by Davis, Donald M
#55M30 #55N20 #70B15 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1801.06006

Abstract

We use Brown-Peterson cohomology to obtain lower bounds for the higher topological complexity, TC_k(RPⁿ), of real projective spaces, which are often much stronger than those implied by ordinary mod-2 cohomology.

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