turkmath.org

Topological complexity is a homotopy invariant which measures how far a space away from admitting a motion planning algorithm. A new variant of topological complexity given through directed paths is introduced by Goubault, Sagnier and Farber. This new concept is useful for classifying directed spaces. In this talk, I will give a brief introduction to usual topological complexity and directed topological complexity, and I will discuss directed topological complexity of directed n-spheres. This is a joint work with Mark Grant.