A Symplectically Non-Squeezable Small Set and the Regular Coisotropic Capacity

Jan Swoboda, Fabian Ziltener

We prove that for $n\ge 2$ there exists a compact subset $X$ of the closed ball in $R^{2n}$ of radius $\sqrt{2}$, such that $X$ has Hausdorff dimension $n$ and does not symplectica…