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Higher Topological Complexity For Fibrations

Published 9 Jul 2021 in math.AT | (2107.04465v1)

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.

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