- #1
lark
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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
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