Higher topological complexity of subcomplexes of products of spheres and related polyhedral product spaces

DOI10.12775/TMNA.2016.051zbMath1420.55008arXiv1501.07474OpenAlexW2592317094MaRDI QIDQ526132

Bárbara Gutiérrez, Sergey Yuzvinsky, Jesús González

Publication date: 8 May 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07474

zbMATH Keywords

polyhedral productszero-divisorsSchwarz genussequential motion planning

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Braid groups; Artin groups (20F36) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Simplicial sets and complexes in algebraic topology (55U10) Artificial intelligence for robotics (68T40) Polyhedral manifolds (52B70)

Related Items (12)

LS-category of moment-angle manifolds and higher order Massey products ⋮ Right-angled Artin groups, polyhedral products and the -generating function ⋮ Sequential motion planning of non-colliding particles in Euclidean spaces ⋮ Generating functions and topological complexity ⋮ Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity ⋮ Topological complexity of classical configuration spaces and related objects ⋮ Topological complexity of graphic arrangements ⋮ On the growth of topological complexity ⋮ Higher topological complexity of aspherical spaces ⋮ The topological complexity of the free product ⋮ Pairwise disjoint maximal cliques in random graphs and sequential motion planning on random right angled Artin groups ⋮ Higher topological complexity of hyperbolic groups

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