On navigational complexity of topological spaces

Speaker:

Alexander Dranishnikov

Affiliation:

U of Florida

Date:

Mon, 07/07/2014 - 16:30 - 18:15

Location:

MPIM Lecture Hall [2]

Parent event:

Geometry and Topology Seminar [3]

M. Farber introduced a numerical invariant TC(X) for measuring
the navigational complexity of a topological space X. He was motivated by robot motion planning. The invariant TC(X) is in spirit of the Lusternik-Schnirelmann category cat(X). We will discuss how these invariants depend on the fundamental group.