A nonlinear Lazarev–Lieb theorem: L2-orthogonality via motion planning

DOI10.1142/S1793525321500060MaRDI QIDQ5038984

Florian Frick, Matt Superdock

Publication date: 9 October 2022

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04417

zbMATH Keywords

Borsuk-Ulam theoremorthogonal functionsHobby-Rice theoremcoindex

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

• Splitting necklaces
• Topological complexity of motion planning
• On the Lazarev-Lieb extension of the Hobby-Rice theorem
• A Simple Proof of the Hobby-Rice Theorem
• SPLITTING LOOPS AND NECKLACES: VARIANTS OF THE SQUARE PEG PROBLEM
• A smooth complex generalization of the Hobby-Rice theorem
• A Moment Problem in L 1 Approximation