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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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Note on local-to-global properties of BLD-mappings
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by Rami Luisto PDF
Proc. Amer. Math. Soc. 144 (2016), 599-607 Request permission

Abstract:

We give a proof, based on Lipschitz quotient-mappings, for the fact that limits of BLD-mappings between manifolds of bounded geometry are BLD. Furthermore, we show that such mappings share some properties of covering maps and especially have no asymptotic values.
References
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Additional Information
  • Rami Luisto
  • Affiliation: Department of Mathematics and Statistics, P.O. Box 68 (Gustaf Hällströmin katu 2b), FI-00014, University of Helsinki, Finland
  • MR Author ID: 1138410
  • Email: rami.luisto@helsinki.fi
  • Received by editor(s): June 3, 2014
  • Received by editor(s) in revised form: October 28, 2014, November 21, 2014, December 10, 2014, and January 2, 2015
  • Published electronically: June 9, 2015
  • Additional Notes: The author was supported by the Academy of Finland project #256228 and the Väisälä Foundation.
  • Communicated by: Jeremy T. Tyson
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 599-607
  • MSC (2010): Primary 30C65; Secondary 30L10, 57M12
  • DOI: https://doi.org/10.1090/proc12711
  • MathSciNet review: 3430837