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Carathéodory completeness on the plane

Universitatis Iagellonicae acta mathematica, 2019, Vol.56, p.15 [Peer Reviewed Journal]

2019. This work is published under https://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;ISSN: 0860-0120 ;EISSN: 2084-3828 ;DOI: 10.4467/20843828AM.19.002.12110

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  • Title:
    Carathéodory completeness on the plane
  • Author: Edigarian, Armen
  • Subjects: Completeness ; Equivalence
  • Is Part Of: Universitatis Iagellonicae acta mathematica, 2019, Vol.56, p.15
  • Description: 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.
  • Publisher: Kraków: Jagiellonian University-Jagiellonian University Press
  • Language: English;French;Russian
  • Identifier: ISSN: 0860-0120
    EISSN: 2084-3828
    DOI: 10.4467/20843828AM.19.002.12110
  • Source: ProQuest Central
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