Can real-analytic curve germs be separated by harmonic functions – mathoverflow.net

Let $\gamma_1: [0,1] \to \mathbb{R}^2$ and $\gamma_2: [0,1] \to \mathbb{R}^2$ be two real-analytic curves with $\gamma_1(0) = \gamma_2(0) = (0,0)$. Assume that the images of $\gamma_1$ and $\gamma_2$ ...