Abstract
We show how locally smooth actions of compact Lie groups on a manifold X can be used to obtain new upper bounds for the topological complexity TC(X), in the sense of Farber. We also obtain new bounds for the topological complexity of finitely generated torsion-free nilpotent groups. (C) 2011 Elsevier B.V. All rights reserved.
Original language | English |
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Pages (from-to) | 88-97 |
Number of pages | 10 |
Journal | Topology and its Applications |
Volume | 159 |
Issue number | 1 |
Early online date | 18 Aug 2011 |
DOIs | |
Publication status | Published - 1 Jan 2012 |
Bibliographical note
Acknowledgements The author would like to thank John Oprea and Greg Lupton for stimulating discussions, and Michael Farber, Peter Landweber and the anonymous referee for their comments on earlier drafts of the paper.Keywords
- topological complexity
- fibrations
- transformation groups
- Lusternik-Schnirelmann category
- robot motion