Contiguity distance between simplicial maps
| dc.contributor.author | Borat, Ayse | |
| dc.contributor.author | Pamuk, Mehmetcik | |
| dc.contributor.author | Vergılı, Tane | |
| dc.date.accessioned | 2026-02-08T15:08:33Z | |
| dc.date.available | 2026-02-08T15:08:33Z | |
| dc.date.issued | 2023 | |
| dc.department | Bursa Teknik Üniversitesi | |
| dc.description.abstract | 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. | |
| dc.identifier.doi | 10.55730/1300-0098.3385 | |
| dc.identifier.endpage | 677 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85152004580 | |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.startpage | 664 | |
| dc.identifier.trdizinid | 1160234 | |
| dc.identifier.uri | https://doi.org/10.55730/1300-0098.3385 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12885/5112 | |
| dc.identifier.volume | 47 | |
| dc.identifier.wos | WOS:000986888900019 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.relation.ispartof | Turkish Journal of Mathematics | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_TR-Dizin_20260207 | |
| dc.subject | Lusternik-Schnirelmann category | |
| dc.subject | topological complexity | |
| dc.subject | Contiguity distance | |
| dc.subject | homotopic distance | |
| dc.title | Contiguity distance between simplicial maps | |
| dc.type | Article |












