A Survey on the Topology of Fractal Squares

We consider a special type of self-similar sets, called fractal squares, and give a brief review on recent results and unsolved issues with an emphasis on their topological properties.

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Publication Details

Journal
ArXiv.org
Published
2025-05-01
Primary Topic
Mathematical Dynamics and Fractals
Type
article
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article

A Survey on the Topology of Fractal Squares

ArXiv.org
Mathematical Dynamics and Fractals
article

A Survey on the Topology of Fractal Squares

article en

Abstract

We consider a special type of self-similar sets, called fractal squares, and give a brief review on recent results and unsolved issues with an emphasis on their topological properties.

ArXiv.org
Central China Normal University (CN)
Reduced inequalities
Openalex Percentile: Top 45%
Mathematical Dynamics and Fractals
Open Access PDFOpenAlex
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A Survey on the Topology of Fractal Squares · ArXiv.org (2025) | TGRS Research Map | TGRS