2021/12/02 by Yuli B. Rudyak, Soumen Sarkar, Rudyak, Yuli B. +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #55M30 #55S40 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Glycosylation and Glycoproteins Research #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2112.00983
openalex publication_date 2021/12/02 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28
In this paper, we study three relative LS categories of a map and study some of their properties. Then we introduce the `higher topological complexity' and `weak higher topological complexity' of a map. Each of them are homotopy invariants. We discuss some lower and upper bounds of these in invariants and compare them with previously known `topological complexities' of a map.