An n-dimensional Klein bottle

DOI10.1017/prm.2018.73zbMath1430.55002arXiv1706.03704OpenAlexW2909659574MaRDI QIDQ5244481

Donald M. Davis

Publication date: 21 November 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.03704

zbMATH Keywords

immersionsKlein bottletopological complexitystable homotopy type

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Classification of homotopy type (55P15) Immersions in differential topology (57R42)

Related Items (3)

Two robots moving geodesically on a tree ⋮ Geodesic complexity of motion planning ⋮ The geodesic complexity of \(n\)-dimensional Klein bottles

Cites Work

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• Lagrangian Klein bottles in \({\mathbb{R}^{2n}}\)
• Lagrangian suppression of double points and symplectic rigidity
• The cohomology ring of polygon spaces
• Topological complexity of motion planning
• Topological complexity of the Klein bottle
• Equivariant topological complexity
• Immersions of Manifolds
• Characteristic Classes. (AM-76)
• TOPOLOGICAL COMPLEXITY (WITHIN 1) OF THE SPACE OF ISOMETRY CLASSES OF PLANAR n-GONS FOR SUFFICIENTLY LARGE n

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