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, cilt.24, sa.1, ss.103-108, 2020 (ESCI) identifier

  • 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
  • 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.