Higher topological complexity for fibrations

Melih Ís, Ísmet Karaca

We introduce the higher topological complexity (TC n) of a fibration in two ways: the higher homotopic distance and the Schwarz genus. Then we have some results on this notion related to TC, TC n or cat of a topological space or a fibration. We also show that TC n of a fibration is a fiber homotopy equivalence.