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Abstract boundaries and continuous extension of biholomorphisms (2205.09998v1)
Published 20 May 2022 in math.CV
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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