Category theoretical view of i-cluster and i-limit points of subsequences
Acta et Commentationes Universitatis Tartuensis de Mathematica, cilt.24, sa.1, ss.103-108, 2020 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24 Sayı: 1
- Basım Tarihi: 2020
- Doi Numarası: 10.12697/acutm.2020.24.07
- Dergi Adı: Acta et Commentationes Universitatis Tartuensis de Mathematica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier
- Sayfa Sayıları: ss.103-108
- Anahtar Kelimeler: I-cluster and I-limit points, Ideal convergence, Subsequences
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Bilecik Şeyh Edebali Üniversitesi Adresli: Evet
Özet
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.