The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces

DOI10.1090/proc/13219zbMath1352.55002arXiv1506.06291OpenAlexW1811517225MaRDI QIDQ2821759

Alexander N. Dranishnikov

Publication date: 23 September 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06291

zbMATH Keywords

topological complexitynon-orientable surfacesLusternik-Schnirelmann category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Obstruction theory in algebraic topology (55S35) Fiber spaces in algebraic topology (55R05)

Related Items (13)

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 ⋮ On topological complexity of non-orientable surfaces ⋮ On the topological complexity of aspherical spaces ⋮ On topological complexity of hyperbolic groups ⋮ Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes ⋮ 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 ⋮ The topological complexity of the free product ⋮ Symmetric Bi-Skew Maps and Symmetrized Motion Planning in Projective Spaces ⋮ Bredon cohomology and robot motion planning

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Free abelian topological groups and collapsing maps
• Quasifaserungen und unendliche symmetrische Produkte
• The LS category of the product of Lens spaces
• Invitation to topological robotics
• Topological complexity and the homotopy cofibre of the diagonal map
• New lower bounds for the topological complexity of aspherical spaces
• Topological complexity of wedges and covering maps
• Weak sectional category
• Lusternik-Schnirelmann category and systolic category of low-dimensional manifolds
• On the Berstein–Svarc theorem in dimension 2
• Topological complexity of configuration spaces
• On the Lusternik–Schnirelmann category of Grassmannians
• A Finitely Generated Infinite Simple Group
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

This page was built for publication: The topological complexity and the homotopy cofiber of the diagonal map for non-orientable surfaces