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- W2963690717 abstract "We show that for any m ∈ ℕ ∪ {∞}, there exist m disjoint FB (Fatou–Bieberbach) domains whose union is dense in ℂ k . In fact, we show that any point not in the union is a boundary point for all the domains. We construct FB domains that contains arbitrary countable collections of subvarieties of ℂ k , and we construct FB domains that intersect elements of countable collections of affine subspaces of ℂ k in connected proper subsets. Moreover, we show that any Runge FB domain is the attracting basin for a sequence of automorphisms of ℂ k , although not necessarily if you only allow iteration of one automorphism. We also show that an increasing sequence of Runge ℂ k 's is a ℂ k ." @default.
- W2963690717 created "2019-07-30" @default.
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- W2963690717 date "2005-11-01" @default.
- W2963690717 modified "2023-09-25" @default.
- W2963690717 title "FATOU–BIEBERBACH DOMAINS" @default.
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- W2963690717 doi "https://doi.org/10.1142/s0129167x05003235" @default.
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