Contiguity distance between simplicial maps

dc.contributor.authorBorat, Ayse
dc.contributor.authorPamuk, Mehmetcik
dc.contributor.authorVergılı, Tane
dc.date.accessioned2026-02-08T15:08:33Z
dc.date.available2026-02-08T15:08:33Z
dc.date.issued2023
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractFor 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.doi10.55730/1300-0098.3385
dc.identifier.endpage677
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85152004580
dc.identifier.scopusqualityN/A
dc.identifier.startpage664
dc.identifier.trdizinid1160234
dc.identifier.urihttps://doi.org/10.55730/1300-0098.3385
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5112
dc.identifier.volume47
dc.identifier.wosWOS:000986888900019
dc.identifier.wosqualityQ2
dc.indekslendigikaynakTR-Dizin
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_TR-Dizin_20260207
dc.subjectLusternik-Schnirelmann category
dc.subjecttopological complexity
dc.subjectContiguity distance
dc.subjecthomotopic distance
dc.titleContiguity distance between simplicial maps
dc.typeArticle

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