Examines topological complexity in manifolds with abelian fundamental group, indicating significant findings on manifold classification.
We study the higher (or sequential) topological complexity TCₛ TC s of manifolds with abelian fundamental group. We give sufficient conditions for TCₛ 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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Cadavid-Aguilar et al. (2026) studied this question.
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