All Questions

Let $i:X\to Y$ be a closed embedding of Stein spaces, $G$ be a coherent $O_Y$-module. Set $I=\ker(i^*:O(Y)\to O(X))$. Then $I$ is an ideal of the ring $O(Y)$. Is that true that $\Gamma(X,i^*G)=G(Y)/...

Let $X$ be a Stein manifold, $K$ be a compact subset of $X$. Consider the following conditions: 1.$K$ admit an open neighborhood basis in $X$ whose members are Stein; 2.$K=\cap_{j\ge 1}V_j$, where $...