Topological complexity of configuration spaces

Details Topological complexity of configuration spaces Topological complexity of configuration spaces

2008-06-25

arxiv.org/abs/0806.4111v1

Mathematics

Algebraic Topology

Scientific paper

The topological complexity TC(X) is a homotopy invariant which reflects the complexity of the problem of constructing a motion planning algorithm in the space X, viewed as configuration space of a mechanical system. In this paper we complete the computation of the topological complexity of the configuration space of n distinct points in Euclidean m-space for all m>1$ and n>1; the answer was previously known in the cases m=2 and m odd. We also give several useful general results concerning sharpness of upper bounds for the topological complexity.

Affiliated with

Also associated with

No associations

Rating

Topological complexity of configuration spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological complexity of configuration spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological complexity of configuration spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-162815