On the higher topological complexity of manifolds with abelian fundamental group
Abstract
Abstract We study the higher (or sequential) topological complexity $$\operatorname {TC}_s$$ TC s of manifolds with abelian fundamental group. We give sufficient conditions for $$\operatorname {TC}_s$$ 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.
Fields of Study & Subjects
Topological and Geometric Data Analysis
Computational Geometry and Mesh Generation
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of Applied and Computational Topology
- Volume
- 10
- Issue
- 1
- Publication date
- 26 February 2026
- Language
- EN