Category theoretical view of I-cluster and I-limit points for ideals I with the baire property

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dc.contributor.authorMiller-Van Wieran, Leila
dc.contributor.authorYurdakadim, Tuğba
dc.contributor.authorTas, Emre
dc.date.accessioned2024-07-12T20:49:41Z
dc.date.available2024-07-12T20:49:41Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe study the concept of I-cluster and I-limit points of a sequence, where I is an ideal with the Baire property. We obtain the relationship between I-cluster and I-limit points of subsequences of a given sequence in the sense of category. Our main result is Theorem Suppose s is a bounded sequence, L the set of its limit points and I is an ideal with the Baire property. Then the set of its subsequences with the same set of I-cluster points as s is co-meager if and only if all elements of L are I-cluster points of s, and is meager otherwise. The analogous statement also holds if I-limit points are in place of I-cluster points.en_US
dc.identifier.citationWieren, L. M., Yurdakadim, T. ve Tas, E. (2019). Category theoretical view of I-cluster and I-limit points for ideals I with the baire property. International Conference of Mathematical Sciences (ICMS 2019). s. 79.en_US
dc.identifier.endpage79en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage79en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2197
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01562
dc.subjectIdeal convergenceen_US
dc.subjectSubsequencesen_US
dc.subjectI-cluster and I-limit pointsen_US
dc.titleCategory theoretical view of I-cluster and I-limit points for ideals I with the baire propertyen_US
dc.typeArticle
dspace.entity.typePublication

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