Topological complexity of the Klein bottle
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Publication:1659254
DOI10.1007/s41468-017-0002-0zbMath1400.55001arXiv1612.03133OpenAlexW3098648029MaRDI QIDQ1659254
Daniel C. Cohen, Lucile Vandembroucq
Publication date: 15 August 2018
Published in: Journal of Applied and Computational Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.03133
Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Cohomology of groups (20J06) Bar and cobar constructions (57T30) Homology with local coefficients, equivariant cohomology (55N25)
Related Items (17)
On the topological complexity of manifolds with abelian fundamental group ⋮ Motion planning in connected sums of real projective spaces ⋮ Topological complexity of the Klein bottle ⋮ Topological complexity of symplectic manifolds ⋮ Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point ⋮ Geodesic complexity of homogeneous Riemannian manifolds ⋮ On the topological complexity of aspherical spaces ⋮ Effective topological complexity of orientable-surface groups ⋮ On the LS-category and topological complexity of a connected sum ⋮ Sequential motion planning algorithms in real projective spaces: an approach to their immersion dimension ⋮ Geodesic complexity of motion planning ⋮ The geodesic complexity of \(n\)-dimensional Klein bottles ⋮ The topological complexity of the free product ⋮ Symmetric Bi-Skew Maps and Symmetrized Motion Planning in Projective Spaces ⋮ A short proof for \(\mathrm{tc}(K)=4\) ⋮ An n-dimensional Klein bottle ⋮ Bredon cohomology and robot motion planning
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