THE CARATHEODORY DISTANCE DOES NOT DEFINE THE TOPOLOGY - THE CASE OF DOMAINS

Autor(en): JARNICKI, M
PFLUG, P
VIGUE, JP
Stichwörter: Mathematics
Erscheinungsdatum: 1991
Herausgeber: GAUTHIER-VILLARS
Journal: COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
Volumen: 312
Ausgabe: 1
Startseite: 77
Seitenende: 79
Zusammenfassung: 
In this Note, using a result of M. Hayashi, we construct a domain D in C3 such that the Caratheodory pseudodistance C(D) on D is a distance, but C(D) does not define the topology of D. This example answers a question of T. Barth and N. Sibony.
ISSN: 07644442

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