Stein surfaces as open subsets of C^2

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An open subset U of a complex surface can be topologically perturbed to yield an open subset whose inherited complex structure is Stein, if and only if U is homeomorphic to the interior of a handlebody whose handles all have index equal or less than 2.
Comments 23 pages, 5 figures, AMS-LaTeX v2: Overcompressed figures fixed. v3: Minor edits - this is the published version

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Geometric Topology, Complex Variables, 32Q28; 32T05; 57N13

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http://salesiana.dossiersoluciones.com/handle/123456789/101047

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501509
 http://arxiv.org/abs/math/0501509
 J. Symplectic Geom. 3 (2005), 565-587

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arXiv