A Survey on the Topology of Fractal Squares

TL;DR

This paper reviews recent research on fractal squares, a type of self-similar set, focusing on their topological properties and highlighting unresolved questions in the field.

Contribution

It provides a comprehensive survey of the current understanding and open problems related to the topology of fractal squares.

Findings

Summary of recent results on fractal squares

Identification of key open problems in topology of fractal squares

Emphasis on the importance of topological properties in fractal analysis

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.