2020•Acta et Commentationes Universitatis Tartuensis de MathematicaOpen access

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

Leila Miller-Van Wieren, Emre Taş, T. Yurdakadim

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.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Subsequence, Limit (mathematics), Limit point, Mathematics, Sequence (biology), Cluster (spacecraft), Baire category theorem, Limit of a sequence