The Carathéodory distance does not define the topology
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- by Jean-Pierre Vigué
- Proc. Amer. Math. Soc. 91 (1984), 223-224
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740175-9
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Abstract:
We construct an analytic space $X$ such that the Carathéodory pseudo-distance ${c_X}$ is a true distance on $X$; however, ${c_X}$ does not define the analytic space topology of $X$.References
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Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 223-224
- MSC: Primary 32H15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740175-9
- MathSciNet review: 740175