Topological complexity of subgroups of Artin’s braid groups

DOI10.1090/conm/702/14105zbMath1392.55009arXiv1607.04830OpenAlexW2484088687MaRDI QIDQ4608469

Mark Grant, David Recio-Mitter

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/1607.04830

zbMATH Keywords

braid groupscohomological dimensiontopological complexityLusternik-Schnirelmann categorytopological roboticsaspherical spaces

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Cohomology of groups (20J06) Eilenberg-Mac Lane spaces (55P20) Artificial intelligence for robotics (68T40) Classical topics in algebraic topology (55M99)

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On the topological complexity of aspherical spaces ⋮ Topological complexity of classical configuration spaces and related objects ⋮ Topological complexity of unordered configuration spaces of surfaces ⋮ Bredon cohomology and robot motion planning

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