Higher Topological Complexity For Fibrations

2021/07/09 by Melih İs, Is, Melih, İsmet Karaca +1
Mathematics · #55M30 #55M99 #55R10 #55R70 #68T40 #Algebraic Topology (math.AT) #F.2.2 #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #I.2.9

paper · pdf · doi:10.48550/arxiv.2107.04465

openalex publication_date 2021/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Monotonicity of the Schwarz genus
• Higher Homotopic Distance
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• Different Types of Topological Complexity on Higher Homotopic Distance