Carathéodory completeness on the plane

M. A. Selby [8-10] and, independently, N. Sibony [11] proved that on the complex plane c-completeness is equivalent to c-finitely compactness. Their proofs are quite similar and are based on [4]. We give more refined equivalent conditions and, along the way, simplify the proofs. 2010 Mathematics Sub...

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Published inUniversitatis Iagellonicae acta mathematica Vol. 56; p. 15
Main Author Edigarian, Armen
Format Journal Article
LanguageEnglish
Published Kraków Jagiellonian University-Jagiellonian University Press 2019
Subjects
Completeness
Equivalence
Online AccessGet full text
ISSN0860-0120
2084-3828
DOI10.4467/20843828AM.19.002.12110

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Abstract M. A. Selby [8-10] and, independently, N. Sibony [11] proved that on the complex plane c-completeness is equivalent to c-finitely compactness. Their proofs are quite similar and are based on [4]. We give more refined equivalent conditions and, along the way, simplify the proofs. 2010 Mathematics Subject Classification. 30H05, 30H50. The author was supported in part by the Polish National Science Centre (NCN) grant no. 2015/17/B/ST1/00996.
AbstractList M. A. Selby [8-10] and, independently, N. Sibony [11] proved that on the complex plane c-completeness is equivalent to c-finitely compactness. Their proofs are quite similar and are based on [4]. We give more refined equivalent conditions and, along the way, simplify the proofs. 2010 Mathematics Subject Classification. 30H05, 30H50. The author was supported in part by the Polish National Science Centre (NCN) grant no. 2015/17/B/ST1/00996.
Author Edigarian, Armen
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Snippet M. A. Selby [8-10] and, independently, N. Sibony [11] proved that on the complex plane c-completeness is equivalent to c-finitely compactness. Their proofs are...
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Equivalence
Title Carathéodory completeness on the plane
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