Caratheodory sets in the tridisk
Complex Variables
2025-05-12 v1
Abstract
We characterize all algebraic subsets of the tridisk that are Caratheodory sets, that is the intrinsic Caratheodory metric on the set equals the Caratheodory metric for the tridisk. We show that such sets are either retracts, or are isomorphic to one particular exceptional set.
Cite
@article{arxiv.2505.05746,
title = {Caratheodory sets in the tridisk},
author = {Lukasz Kosinski and John E. McCarthy},
journal= {arXiv preprint arXiv:2505.05746},
year = {2025}
}