Contiguity distance between simplicial maps
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
For simplicial complexes and simplicial maps, the notion of being in the same contiguity class is defined as the discrete version of homotopy. In this paper, we study the contiguity distance, SD , between two simplicial maps adapted from the homotopic distance. In particular, we show that simplicial versions of LS -category and topological complexity are particular cases of this more general notion. Moreover, we present the behaviour of SD under the barycentric subdivision, and its relation with strong collapsibility of a simplicial complex.
Açıklama
Anahtar Kelimeler
Lusternik-Schnirelmann category, topological complexity, Contiguity distance, homotopic distance
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
47
Sayı
2
