Relatively compact Siegel disks with non-locally connected boundaries
classification
🧮 math.DS
keywords
connectedsiegelboundariesboundarycompactcompactlyconstructcontained
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We construct holomorphic maps with a Siegel disk whose boundary is not locally connected (and is an indecomposable continuum), yet compactly contained in the domain of definition of the map. Our examples are injective and defined on a subset of C.
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