Completely invariant sets of normality for rational semigroups

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dc.creatorStankewitz, Rich
dc.date1998-10-15
dc.date.accessioned2026-07-07T05:26:29Z
dc.date.available2026-07-07T05:26:29Z
dc.descriptionLet G be a semigroup of rational functions of degree at least two where the semigroup operation is composition of functions. We prove that the largest open subset of the Riemann sphere on which the semigroup G is normal and is completely invariant under each element of G, can have only 0, 1, 2, or infinitely many components.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/9810099
dc.identifierhttp://arxiv.org/abs/math/9810099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77564
dc.subjectDynamical Systems
dc.subjectComplex Variables
dc.subject30D05; 58F23
dc.titleCompletely invariant sets of normality for rational semigroups
dc.typetext

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