On the higher topological complexity of manifolds with abelian fundamental group

2025/06/06 by Cadavid-Aguilar, N., Cohen, D., González, J. +2
#55M30 #55S40 #57N65 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.06229

Abstract

We study the higher (or sequential) topological complexity TC_s of manifolds with abelian fundamental group. We give sufficient conditions for TC_s to be non-maximal in both the orientable and non-orientable cases. In combination with cohomological lower bounds, we also obtain some exact values for certain families of manifolds.

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