Embedded complex curves in the affine plane

This https://t.co/ynQ8Dcf3tT has been replaced. Links: https://t.co/M6xgH8XhcE https://t.co/FncVeJ7pxE https://t.co/9EYdDoDwHq https://t.co/RzPSixlFrs

maps $E\cup bM$ out of a given ball and satisfies some interpolation conditions. [5/5 of https://t.co/URMmMSZEfq]

holes in $\mathring M$, and a $\mathscr C^1$ embedding $f:M\hookrightarrow \mathbb C^2$ which is holomorphic in $\mathring M$, we can approximate $f$ uniformly on $K$ by a holomorphic embedding $F:M\hookrightarrow \mathbb C^2$ which [4/5 of https://t.co/UR

C^2$. The focal point is a lemma saying the following. Given a compact bordered Riemann surface, $M$, a closed discrete subset $E$ of its interior $\mathring M=M\setminus bM$, a compact subset $K\subset \mathring M\setminus E$ without [3/5 of https://t.co/