The universal covering space of a plane excluding the origin $\mathbb{R}^2 \backslash \{\mathbf{0}\}$ can be regarded as the Riemann surface of the complex-valued function $\ln(z)$. My question is what is the universal covering space of a plane excluding two points $\mathbb{R}^2\backslash\{\mathbf{a},\mathbf{b}\}$? Can it also be written as a Riemann surface of a complex-valued function?
2026-03-29 07:37:26.1774769846
What is the universal covering space of a plane with two holes?
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