Extracting isolated rays from a symplectic manifold result in symplectomorphic to the initial one. The same holds for higher dimensional parametrized under an additional condition. More precisely, let $(M,\omega)$ be manifold. Let $[0,\infty)\times Q\subset\mathbb{R}\times Q$ considered as $[0,\infty)$ and $\varphi:[-1,\infty)\times Q\to M$ injective, proper, continuous map immersive on $(-1,\i...