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) identifier

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.