Embedding subsets of tori Properly into ℂ 2
Erlend Fornæss Wold · Annales de l’institut Fourier · 2007
Let 𝕋 be a complex one-dimensional torus. We prove that all subsets of 𝕋 with finitely many boundary components (none of them being points) embed properly into ℂ 2 . We also show that the algebras of analytic functions on certain countably connected subsets of closed Riemann surfaces are doubly generated.