Effective topological complexity of orientable-surface groups

DOI10.1016/j.topol.2020.107575zbMath1498.55002arXiv1907.10212OpenAlexW3118945698MaRDI QIDQ2222106

Natalia Cadavid-Aguilar, Jesús González

Publication date: 3 February 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.10212

zbMATH Keywords

group cohomologysurface grouprewriting systemcontracting homotopydiagonal approximationeffective topological complexity

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) Grammars and rewriting systems (68Q42) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Artificial intelligence for robotics (68T40) Homology with local coefficients, equivariant cohomology (55N25)

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