Q-topological complexity

DOI10.1090/conm/702/14110zbMath1404.55006arXiv1701.05845OpenAlexW2581337771MaRDI QIDQ4608465

Lucile Vandembroucq, Lucía Fernández-Suárez

Publication date: 16 March 2018

Published in: Topological Complexity and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05845

zbMATH Keywords

sectional categorytopological complexity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30)

Cites Work

• Minimal coverings of manifolds with balls
• Homotopy pull backs, homotopy push outs and joins
• Cone-length and Lusternik-Schnirelmann category
• Topological complexity of motion planning
• Lagrangian intersections, critical points and \(Q\)-category
• Fibrewise suspension and Lusternik-Schnirelmann category
• Fibrewise construction applied to Ljusternik-Schnirelman category
• Cellular spaces, null spaces and homotopy localization
• Topological complexity and the homotopy cofibre of the diagonal map
• Joins of DGA modules and sectional category
• A classification theorem for fibre spaces
• A proof of Ganea's conjecture for rational spaces
• Rational Approximations to L-S Category and a Conjecture of Ganea
• Weak sectional category
• Robot motion planning, weights of cohomology classes, and cohomology operations
• Ganea's Conjecture on Lusternik-Schnirelmann Category
• On the Ganea conjecture for manifolds
• Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes
• Two special cases of Ganea’s conjecture
• The genus of a fiber space
• Note on Cofibrations II.
• Unnamed Item

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