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Def'n of holomorphically convex domain

  1. Dec 4, 2008 #1
    Does anyone have a textbook on multivariable complex analysis, and do they define a holomorphically convex domain in terms of the union of an ascending series of compact subsets? If so, how exactly does the definition go?
    Was it [tex]D=\bigcup K_n[/tex] where [tex]K_n[/tex] is holomorphically convex and compact and [tex]K_n \subset K_{n+1}?[/tex]
    Or [tex]D=\bigcup K_n[/tex] where [tex]K_n[/tex] is holomorphically convex and compact and [tex]K_n \subset \text{interior} (K_{n+1})?[/tex]
    Laura
     
  2. jcsd
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