Category theoretical view of i-cluster and i-limit points of subsequences

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Wieren L. M., Taş E., Yurdakadim T.

Acta et Commentationes Universitatis Tartuensis de Mathematica, vol.24, no.1, pp.103-108, 2020 (ESCI)

• Publication Type: Article / Article
• Volume: 24 Issue: 1
• Publication Date: 2020
• Doi Number: 10.12697/acutm.2020.24.07
• Journal Name: Acta et Commentationes Universitatis Tartuensis de Mathematica
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier
• Page Numbers: pp.103-108
• Keywords: I-cluster and I-limit points, Ideal convergence, Subsequences
• Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

We study the concepts of I-limit and I-cluster points of a sequence, where I is an ideal with the Baire property. We obtain the relationship between I-limit and I-cluster points of a subsequence of a given sequence and the set of its classical limit points in the sense of category theory.