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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On Poletsky theory of discs in compact manifolds
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by Uroš Kuzman PDF
Proc. Amer. Math. Soc. 146 (2018), 4767-4774 Request permission

Abstract:

We provide a direct construction of Poletsky discs via local arc approximation and a Runge-type theorem by A. Gournay [Geom Funct. Anal. 22 (2012), pp. 311-351].
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Additional Information
  • Uroš Kuzman
  • Affiliation: Faculty of Mathemathics, Physics and Mechanics, University of Ljubljana and Institute of Mathemathics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia.
  • Received by editor(s): October 19, 2017
  • Received by editor(s) in revised form: February 13, 2018
  • Published electronically: August 8, 2018
  • Additional Notes: The research of the author was supported in part by the research program P1-0291 and grants J1-9104 and J1-7256 from ARRS, Republic of Slovenia. A large part of the result was created during his stay at the University of Oslo, in spring 2017.
  • Communicated by: Filippo Bracci
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 4767-4774
  • MSC (2010): Primary 32Q60, 32Q65, 32E30, 32U05
  • DOI: https://doi.org/10.1090/proc/14131
  • MathSciNet review: 3856144