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TAME DISCRETE SUBSETS IN STEIN MANIFOLDS

  • JÖRG WINKELMANN (a1)
Abstract

Rosay and Rudin introduced the notion of ‘tameness’ for discrete subsets of $\mathbf{C}^{n}$ . We generalize the notion of tameness for discrete sets to arbitrary Stein manifolds, with special emphasis on complex Lie groups.

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[1] Andrist, R. and Ugolini, R., Personal communication.
[2] Buzzard, G. and Lu, S., ‘Algebraic surfaces holomorphically dominable by C 2 ’, Invent. Math. 139(3) (2000), 617659.
[3] Rosay, J. P. and Rudin, W., ‘Holomorphic maps from C n to C n ’, Trans. Amer. Math. Soc. 310 (1988), 4786.
[4] Winkelmann, J., ‘Large discrete sets in Stein manifolds’, Math. Z. 236 (2001), 883901.
[5] Winkelmann, J., ‘Tameness and growth conditions’, Doc. Math. 13 (2008), 97101.
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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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