Higher analogues of discrete topological complexity

dc.authorid0000-0002-5628-7798
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.accessioned2025-07-25T11:00:34Z
dc.date.available2025-07-25T11:00:34Z
dc.date.issued2024-06-13
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 nth discrete topological complexity and study its properties such as its relation with simplicial Lusternik–Schnirelmann category and how the higher dimensions of discrete topological complexity relate with each other. Moreover, we find a lower bound of n-th discrete topological complexity which is given by the nth 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.versionPublisher's Versionen_US
dc.identifier.citationAlabay, H., Borat, A., Cihangirli, E. & Erdal, E. D. (2024). Higher analogues of discrete topological complexity. Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 118(3), 1-8. doi:10.1007/s13398-024-01623-xen_US
dc.identifier.doi10.1007/s13398-024-01623-x
dc.identifier.endpage8
dc.identifier.issn1578-7303
dc.identifier.issn1579-1505
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85195688755
dc.identifier.scopusqualityQ1
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/6581
dc.identifier.urihttps://doi.org/10.1007/s13398-024-01623-x
dc.identifier.volume118
dc.identifier.wosWOS:001248051700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorErdal, Esma Diricanen_US
dc.institutionauthorid0000-0003-1223-3007
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringer-Verlag Italia S.R.L.en_US
dc.relation.ispartofRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicasen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDiscrete topological complexityen_US
dc.subjectSimplicial Lusternik Schnirelmann categoryen_US
dc.subjectSimplicial complexen_US
dc.subjectAlgebraen_US
dc.subjectHigher dimensionsen_US
dc.subjectLow bounden_US
dc.subjectPropertyen_US
dc.subjectTopological complexityen_US
dc.subject55m30en_US
dc.subject55u05en_US
dc.subjectTopologyen_US
dc.titleHigher analogues of discrete topological complexityen_US
dc.typeArticleen_US
dspace.entity.typePublicationen_US

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