Different types of topological complexity based on higher homotopic distance
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We first study the higher version of the relative topological complexity by using the homotopic distance. We also introduce the generalized version of the relative topological complexity of a topological pair with respect to 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. Later, by defining the parametrized topological complexity via the homotopic distance, we present some estimates on the higher setting of this concept. Finally, we give some important examples of the parametrized topological complexities of fiber bundles with their fibers.& COPY; 2023 Elsevier B.V. All rights reserved.
Açıklama
Anahtar Kelimeler
Topological complexity number, Parametrized topological complexity, number, Lusternik-Schnirelmann category, Schwarz genus, Higher homotopic distance, Category
Kaynak
Topology and Its Applications
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
337
