4 problems

Let $\phi_i(x):=x/5+(i-1)/5$ for $i\in\{1,\ldots,5\}$. Let $M$ and $M'$ be the attractors of the IFSs $\{\phi_1,\phi_3,\phi_5\}$ and $\{\phi_1,\phi_4,\phi_5\}$, respectively. The s…

Lipschitz classification conjecture. We conjecture that $F_1\simeq F_4$, but $F_1$, $F_5$ and $F_6$ are not Lipschitz equivalent to each other.

Let ${\mathcal F}_{3,5}$ be the collection of fractal squares satisfying the defining set equation, and let ${\mathcal F}_{3,5}/{\simeq}$ denote its set of Lipschitz equivalence cl…

Let ${\boldsymbol{\rho}}=(\rho_1,\ldots,\rho_m)$ be a contraction vector such that $\operatorname{rank}\langle {\boldsymbol{\rho}}\rangle=m$, and let…