Detecting topological and Banach fractals among zero-dimensional spaces

Taras Banakh, Magdalena Nowak, Filip Strobin

A topological space $X$ is called a topological fractal if $X={\bigcup }_{f\in \mathcal{F}}f(X)$ for a finite system $\mathcal{F}$ of continuous self-maps of $X$, which is topologically…