The Carathéodory distance does not define the topology
Author:
Jean-Pierre Vigué
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
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Abstract | References | Similar Articles | Additional Information
Abstract: We construct an analytic space 
such that the Carathéodory pseudo-distance 
is a true distance on 
; however, 
does not define the analytic space topology of 
.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1984-0740175-9
Keywords:
Carathéodory distance,
topology defined by the Caratheodory distance
Article copyright:
© Copyright 1984
American Mathematical Society
