Category theoretical view of i-cluster and i-limit points of subsequences
Acta et Commentationes Universitatis Tartuensis de Mathematica, vol.24, no.1, pp.103-108, 2020 (ESCI, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.