Topological complexity, fibrations and symmetry

DOI10.1016/j.topol.2011.07.025zbMath1230.55003arXiv1104.2755OpenAlexW1970438765MaRDI QIDQ649798

Mark Grant

Publication date: 6 December 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2755

zbMATH Keywords

fibrationstransformation groupsTopological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Compact Lie groups of differentiable transformations (57S15) Artificial intelligence for robotics (68T40) Classical topics in algebraic topology (55M99)

Related Items (14)

Topological complexity of symplectic manifolds ⋮ Equivariant topological complexity ⋮ On the topological complexity of aspherical spaces ⋮ Topological complexity of motion planning in projective product spaces ⋮ Topological complexity of classical configuration spaces and related objects ⋮ Topological complexity of subgroups of Artin’s braid groups ⋮ Topological complexity and the homotopy cofibre of the diagonal map ⋮ On LS-category and topological complexity of some fiber bundles and Dold manifolds ⋮ Digital topological complexity numbers ⋮ Oriented robot motion planning in Riemannian manifolds ⋮ The topological complexity of the free product ⋮ A short proof for \(\mathrm{tc}(K)=4\) ⋮ Bredon cohomology and robot motion planning ⋮ Parametrised topological complexity of group epimorphisms

Cites Work

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• Topological complexity of motion planning
• Instabilities of robot motion
• A new method in fixed point theory
• Smooth homotopy lens spaces
• Cohomological topics in group theory.
• On torsion-free groups with infinitely many ends
• Homological resolutions of complexes with operators
• Robot motion planning, weights of cohomology classes, and cohomology operations
• Topological complexity of motion planning and Massey products
• The genus of a fiber space
• Quotient maps, group actions and Lusternik-Schnirelmann category

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