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Proper holomorphic immersions in homotopy classes of maps from finitely connected planar domains into CxC*

Proper holomorphic immersions in homotopy classes of maps from finitely connected planar domains into CxC*

Gromov, in his seminal 1989 paper on the Oka principle, proved that every continuous map from a Stein manifold into an elliptic manifold is homotopic to a holomorphic map. Previously we have shown that, given a continuous map X → C×C∗ from a finitely connected planar domain X without isolated …