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Remarks on a result of Sibony on the Carathéodory topology
In this paper, we prove that if a Carathéodory hyperbolic analytic space $X$ is $C_X$-complete, then its natural topology is induced by the Carathéodory distance on $X$. This is an improvement of Sibony's result, which concludes the same under the hypothesis that $X$ is $C_X$-finitely compact. This
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