Higher analogues of discrete topological complexity

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dc.authorid0009-0008-2020-2239
dc.authorid0000-0002-5628-7798
dc.authorid0009-0000-6133-1469
dc.authorid0000-0003-1223-3007
dc.contributor.authorAlabay, Hilalen_US
dc.contributor.authorBorat, Ayşeen_US
dc.contributor.authorCihangirli, Esraen_US
dc.contributor.authorErdal, Esma Diricanen_US
dc.date.accessioned2025-10-08T08:07:22Z
dc.date.available2025-10-08T08:07:22Z
dc.date.issued2024-04-16
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.description.abstractIn this paper, we introduce the n−th discrete topological complexity and study its properties such as its relation with simplicial LusternikSchnirelmann category and how the higher dimensions of discrete topological complexity relate with each other. Moreover, we find a lower bound of n−discrete topological complexity which is given by the n−th usual topological complexity of the geometric realisation of that complex. Furthermore, we give an example for the strict case of that lower bound.en_US
dc.description.versionPreprint's Versionen_US
dc.identifier.citationAlabay, H., Borat, A., Cihangirli, E. & Erdal, E. D. (2024). Higher analogues of discrete topological complexity. Arxiv, 1-9. doi:https://doi.org/10.48550/arXiv.2310.01333en_US
dc.identifier.endpage9
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/6755
dc.identifier.urihttps://doi.org/10.48550/arXiv.2310.01333
dc.identifier.wosPPRN:85349526
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakPreprint Citation Indexen_US
dc.institutionauthorErdal, Esma Diricanen_US
dc.institutionauthorid0000-0003-1223-3007
dc.language.isoenen_US
dc.publisherCornell Univen_US
dc.relation.ispartofArxiven_US
dc.relation.publicationcategoryÖn Baskı – Uluslararası – Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDiscrete topological complexityen_US
dc.subjectSimplicial Lusternik Schnirelmann categoryen_US
dc.subjectSimplicial complexen_US
dc.titleHigher analogues of discrete topological complexityen_US
dc.typePreprinten_US
dspace.entity.typePublicationen_US

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