Topological complexity of real Grassmannians

We use some detailed knowledge of the cohomology ring of real Grassmann manifolds Gk(ℝn) to compute zero-divisor cup-length and estimate topological complexity of motion planning for k-linear subspaces in ℝn. In addition, we obtain results about monotonicity of Lusternik–Schnirelmann category and to...

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Veröffentlicht in:	Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2021-12, Vol.151 (6), p.2013-2029
1. Verfasser:	Pavešić, Petar
Format:	Artikel
Sprache:	eng
Schlagworte:	Complexity Estimates Homology Manifolds (mathematics) Motion planning Planning Robotics Subspaces Topology
Online-Zugang:	Volltext
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