Article ID Journal Published Year Pages File Type
4659896 Topology and its Applications 2010 5 Pages PDF
Abstract

Farber introduced a notion of topological complexity TC(X) that is related to robotics. Here we introduce a series of numerical invariants TCn(X), n=2,3,… , such that TC2(X)=TC(X) and TCn(X)⩽TCn+1(X). For these higher complexities, we define their symmetric versions that can also be regarded as higher analogs of the symmetric topological complexity.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology