Yıl: 2023 Cilt: 47 Sayı: 2 Sayfa Aralığı: 664 - 677 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3385 İndeks Tarihi: 14-03-2024

Contiguity distance between simplicial maps

Öz:
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.
Anahtar Kelime: Contiguity distance homotopic distance topological complexity Lusternik-Schnirelmann category

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Borat A, Pamuk M, VERGILI T (2023). Contiguity distance between simplicial maps. , 664 - 677. 10.55730/1300-0098.3385
Chicago Borat Ayse,Pamuk Mehmetcik,VERGILI TANE Contiguity distance between simplicial maps. (2023): 664 - 677. 10.55730/1300-0098.3385
MLA Borat Ayse,Pamuk Mehmetcik,VERGILI TANE Contiguity distance between simplicial maps. , 2023, ss.664 - 677. 10.55730/1300-0098.3385
AMA Borat A,Pamuk M,VERGILI T Contiguity distance between simplicial maps. . 2023; 664 - 677. 10.55730/1300-0098.3385
Vancouver Borat A,Pamuk M,VERGILI T Contiguity distance between simplicial maps. . 2023; 664 - 677. 10.55730/1300-0098.3385
IEEE Borat A,Pamuk M,VERGILI T "Contiguity distance between simplicial maps." , ss.664 - 677, 2023. 10.55730/1300-0098.3385
ISNAD Borat, Ayse vd. "Contiguity distance between simplicial maps". (2023), 664-677. https://doi.org/10.55730/1300-0098.3385
APA Borat A, Pamuk M, VERGILI T (2023). Contiguity distance between simplicial maps. Turkish Journal of Mathematics, 47(2), 664 - 677. 10.55730/1300-0098.3385
Chicago Borat Ayse,Pamuk Mehmetcik,VERGILI TANE Contiguity distance between simplicial maps. Turkish Journal of Mathematics 47, no.2 (2023): 664 - 677. 10.55730/1300-0098.3385
MLA Borat Ayse,Pamuk Mehmetcik,VERGILI TANE Contiguity distance between simplicial maps. Turkish Journal of Mathematics, vol.47, no.2, 2023, ss.664 - 677. 10.55730/1300-0098.3385
AMA Borat A,Pamuk M,VERGILI T Contiguity distance between simplicial maps. Turkish Journal of Mathematics. 2023; 47(2): 664 - 677. 10.55730/1300-0098.3385
Vancouver Borat A,Pamuk M,VERGILI T Contiguity distance between simplicial maps. Turkish Journal of Mathematics. 2023; 47(2): 664 - 677. 10.55730/1300-0098.3385
IEEE Borat A,Pamuk M,VERGILI T "Contiguity distance between simplicial maps." Turkish Journal of Mathematics, 47, ss.664 - 677, 2023. 10.55730/1300-0098.3385
ISNAD Borat, Ayse vd. "Contiguity distance between simplicial maps". Turkish Journal of Mathematics 47/2 (2023), 664-677. https://doi.org/10.55730/1300-0098.3385