Higher analogues of discrete topological complexity
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer-Verlag Italia Srl
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we introduce the nth discrete topological complexity and study its properties such as its relation with simplicial Lusternik-Schnirelmann category and how the higher dimensions of discrete topological complexity relate with each other. Moreover, we find a lower bound of n-th discrete topological complexity which is given by the nth usual topological complexity of the geometric realisation of that complex. Furthermore, we give an example for the strict case of that lower bound.
Açıklama
Anahtar Kelimeler
Discrete topological complexity, Simplicial Lusternik Schnirelmann category, Simplicial complex
Kaynak
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-Matematicas
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
118
Sayı
3
