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

  • Leila Miller-Van Wieren International University of Sarajevo, Faculty of Engineering and Natural Sciences, 71000 Sarajevo, Bosnia and Herzegovina https://orcid.org/0000-0002-7621-9231
  • Emre Taş Ahi Evran University, Department of Mathematics, Kirşehir, Turkey
  • ‪Tuğba Yurdakadim Hitit University, Department of Mathematics, Çorum, Turkey
Keywords: ideal convergence, subsequences, I-cluster and I-limit points

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.

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Published
2020-09-23
Section
Articles