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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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A Newman property for BLD-mappings
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by Rami Luisto PDF
Conform. Geom. Dyn. 23 (2019), 135-146 Request permission

Abstract:

We define a Newman property for BLD-mappings and prove that for a BLD-mapping between generalized manifolds equipped with complete path-metrics, this property is equivalent to the branch set being porous when the codomain is LLC.
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Additional Information
  • Rami Luisto
  • Affiliation: Department of Mathematics and Statistics, P.O. Box 35, FI-40014 University of Jyväskylä, Finland; and Department of Mathematical Analysis, Charles University in Prague, Sokolovska 83, Praha 8, 186 75, Czech Republic
  • MR Author ID: 1138410
  • Email: rami.luisto@gmail.com
  • Received by editor(s): November 7, 2017
  • Received by editor(s) in revised form: November 16, 2018
  • Published electronically: July 9, 2019
  • Additional Notes: The first author was partially supported by a grant of the Finnish Academy of Science and Letters, the Academy of Finland (grant 288501 “Geometry of subRiemannian groups”), and by the European Research Council (ERC Starting Grant 713998 GeoMeG “Geometry of Metric Groups”)
  • © Copyright 2019 American Mathematical Society
  • Journal: Conform. Geom. Dyn. 23 (2019), 135-146
  • MSC (2010): Primary 30L10, 30C65, 57M12
  • DOI: https://doi.org/10.1090/ecgd/338
  • MathSciNet review: 3978425