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arXiv · 2205.09998

Abstract boundaries and continuous extension of biholomorphisms

Filippo Bracci·Hervé Gaussier
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Abstract

We present different constructions of abstract boundaries for bounded complete (Kobayashi) hyperbolic domains in ${\mathbb C}^d$, $d \geq 1$. These constructions essentially come from the geometric theory of metric spaces. We also present, as an application, some extension results concerning biholomorphic maps.

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Filippo Bracci, Hervé Gaussier. 2022-05-20. Abstract boundaries and continuous extension of biholomorphisms. https://arxiv.org/abs/2205.09998

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