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Carathéodory sets in the tridisk

  • Łukasz Kosiński

    Jagiellonian University, Krakow, Poland
    ORCID

  • John E. McCarthy

    Washington University in St. Louis, St. Louis, USA
    ORCID
Carathéodory sets in the tridisk cover
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Abstract

We characterize all algebraic subsets of the tridisk that are Carathéodory sets, that is the intrinsic Carathéodory metric on the set equals the Carathéodory metric for the tridisk. We show that such sets are either retracts, or are isomorphic to one particular exceptional set.

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Łukasz Kosiński, John E. McCarthy, Carathéodory sets in the tridisk. Rev. Mat. Iberoam. (2025), published online first

DOI 10.4171/RMI/1566