Topological complexity of the work map

Abstract

We introduce the topological complexity of the work map associated to a robot system. In broad terms, this measures the complexity of any algorithm controlling, not just the motion of the configuration space of the given system, but the task for which the system has been designed. From a purely topological point of view, this is a homotopy invariant of a map which generalizes the classical topological complexity of a space.

To appear in Journal of Topology and Analysis

References in corpus (3)

• Joins of DGA modules and sectional category
• Complexity of the forward kinematic map
• The rational sectional category of certain maps