Finding topology in a factory: configuration spaces

Details Finding topology in a factory: configuration spaces Finding topology in a factory: configuration spaces

2000-09-12

arxiv.org/abs/math/0009118v1

Mathematics

History and Overview

16 pages, 7 figures

Scientific paper

This expository article describes applications of topological configuration
spaces to the control of robotic systems. In particular, we review recent work
by the authors on configuration spaces of graphs. These are lovely spaces: we
show for example that the configuration space of two points on the complete
graph of five vertices is a closed orientable surface of genus six.

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