Assouad's theorem with dimension independent of the snowflaking

Assaf Naor, Ofer Neiman

It is shown that for every $K>0$ and $\e\in (0,1/2)$ there exist $N=N(K)\in \mathbb{N}$ and $D=D(K,\e)\in (1,\infty)$ with the following properties. For every separable metric space $(X,d)…