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

Leila Miller-Van Wieren | Zendy; Emre Taş | Zendy; T. Yurdakadim | Zendy

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

Author(s) -

Leila Miller-Van Wieren,

Emre Taş,

T. Yurdakadim

Publication year - 2020

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2020.24.07

Subject(s) - subsequence , limit (mathematics) , limit point , mathematics , sequence (biology) , cluster (spacecraft) , baire category theorem , limit of a sequence , ideal (ethics) , combinatorics , property (philosophy) , pure mathematics , mathematical analysis , computer science , epistemology , philosophy , genetics , bounded function , biology , programming language

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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