Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes

DOI10.1090/conm/702/14109zbMath1388.55003arXiv1607.08858OpenAlexW2964288174MaRDI QIDQ4608467

Lucile Vandembroucq, Mark Grant, Jesús González

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/1607.08858

zbMATH Keywords

topological complexityLusternik-Schnirelmann categorygeneralized Hopf invarianttwo-cell complexfiberwise join

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Kinematics of mechanisms and robots (70B15) Obstruction theory in algebraic topology (55S35) Artificial intelligence for robotics (68T40) Hopf invariants (55Q25) Extension and compression of mappings in algebraic topology (55S36)

Related Items (4)

On the topological complexity of manifolds with abelian fundamental group ⋮ Q-topological complexity ⋮ Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes ⋮ Sequential motion planning algorithms in real projective spaces: an approach to their immersion dimension

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