Proper Holomorphic Embeddings of Finitely and Some Infinitely Connected Subsets of $\CC$ Into $\CC^2$

Erlend Forn{\ae}ss Wold

arxiv: math/0410188 · v8 · submitted 2004-10-07 · 🧮 math.CV

Proper Holomorphic Embeddings of Finitely and Some Infinitely Connected Subsets of CC Into CC²

Erlend Forn{\ae}ss Wold This is my paper

classification 🧮 math.CV

keywords connectedembeddedfinitelyproperlysomesubsetdomainembeddings

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We show that any finitely connected domain $U\subset\CC$ can be properly embedded into $\CC^2$. For some sequences $\{p_j\}\subset U$, $U\setminus\{p_j\}$ can also be properly embedded into $\CC^2$.

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Proper Holomorphic Embeddings of Finitely and Some Infinitely Connected Subsets of CC Into CC²

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