Higher Topological Complexity For Fibrations

Abstract

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.