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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 in | Universitatis Iagellonicae acta mathematica Vol. 56; p. 15 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Kraków
Jagiellonian University-Jagiellonian University Press
2019
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0860-0120 2084-3828 |
| DOI | 10.4467/20843828AM.19.002.12110 |
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| Summary: | 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. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0860-0120 2084-3828 |
| DOI: | 10.4467/20843828AM.19.002.12110 |