Different Types of Topological Complexity on Higher Homotopic Distance

Autor:	İs, Melih, Karaca, İsmet
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Topology 55M30 14F35 55R10 14M15 57N99
Druh dokumentu:	Working Paper
Popis:	We first study the higher version of the relative topological complexity by using the homotopic distance. We also introduced the generalized version of the relative topological complexity of a topological pair on both the Schwarz genus and the homotopic distance. With these concepts, we give some inequalities including the topological complexity and the Lusternik-Schnirelmann category, the most important parts of the study of robot motion planning in topology. Finally, by defining the parametrised topological complexity via the homotopic distance, we present some estimates on the higher setting of this concept. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.02494 Zobrazit plný text záznamu View this record from Arxiv