THE HIGHER TOPOLOGICAL COMPLEXITY OF WEGDE PRODUCT OF SPHERES

Abstract

In 2010, Rudyak introduced the concept of higher topological complexity of a topological space.
This is a homotopy invariant, which measures the existence of higher motion plans and has
many relations with other invariants. It is difficult to calculate higher topological complexity in
the general case. In this paper, by directly constructing sections on ENRs, we compute directly
the higher topological complexity of wegde product of spheres.