Embedding fractals in Banach, Hilbert or Euclidean spaces

Taras Banakh, Magdalena Nowak, Filip Strobin

By a metric fractal we understand a compact metric space $K$ endowed with a finite family $\mathcal{F}$ of contracting self-maps of $K$ such that $K={\bigcup }_{f\in \mathcal{F}}f(K)$. I…