Embeddings of infinitely connected planar domains into $\mathbb C^2$

Franc Forstnerič; Erlend Wold

doi:10.2140/apde.2013.6.499

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Home > Journals > Anal. PDE > Volume 6 > Issue 2 > Article

2013 Embeddings of infinitely connected planar domains into $\mathbb C^2$

Franc Forstnerič, Erlend Wold

Anal. PDE 6(2): 499-514 (2013). DOI: 10.2140/apde.2013.6.499

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Abstract

We prove that every circled domain in the Riemann sphere admits a proper holomorphic embedding into the affine plane $ℂ^{2}$ .

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Franc Forstnerič. Erlend Wold. "Embeddings of infinitely connected planar domains into $\mathbb C^2$." Anal. PDE 6 (2) 499 - 514, 2013. https://doi.org/10.2140/apde.2013.6.499