Symmetric topological complexity as the first obstruction in Goodwillie’s Euclidean embedding tower for real projective spaces

DOI10.1090/S0002-9947-2011-05449-8zbMath1235.57017arXiv0911.1116MaRDI QIDQ3103862

Jesús González

Publication date: 12 December 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1116

zbMATH Keywords

configuration spaceprojective spaceEuler classsymmetric topological complexitycalculus of embeddingsSchwarz (Švarc) genussymmetric motion planner

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Robot dynamics and control of rigid bodies (70E60) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Embeddings in differential topology (57R40)

Related Items (1)

Symmetric Bi-Skew Maps and Symmetrized Motion Planning in Projective Spaces

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