Motion planning in spaces with small fundamental group

Abstract

We establish sharp upper bounds for the topological complexity of motion planning problem in spaces with small fundamental group, i.e. when it is finite of small order or has small cohomological dimension.

References in corpus (2)

• Motion planning in tori
• On the Lusternik-Schnirelmann category of spaces with 2-dimensional fundamental group

Cited by in corpus (2)

• Topological complexity of configuration spaces
• Cohomological dimension, self-linking, and systolic geometry