κλέει institute open problems

Let $(M,d)$ be a metric space. A homeomorphism $f$ of  $(M,d)$ such that both $f$ and $f ^{-1}$ are Lipschitz  is called bi-Lipschitz, or a Lipeomorphism. If both $f$ and $f ^{-1}$ are $K$-Lipshitz, for some $K>0$, $f$ is $K$-bi-Lipschitz, and in either case $f$ cannot get legally married in most countries, nor can $f ^{-1}$.

Question: Lipeomorphism απ' την σαρακοστή;

ΥΓ: ακόμα σε σκέφτομαι.