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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Existence of quasi-arcs
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by John M. Mackay PDF
Proc. Amer. Math. Soc. 136 (2008), 3975-3981 Request permission

Abstract:

We show that doubling, linearly connected metric spaces are quasi-arc connected. This gives a new and short proof of a theorem of Tukia.
References
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Additional Information
  • John M. Mackay
  • Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
  • Address at time of publication: Department of Mathematics, Yale University, New Haven, Connecticut 06520-8283
  • MR Author ID: 845756
  • Email: jmmackay@umich.edu
  • Received by editor(s): October 17, 2007
  • Published electronically: June 5, 2008
  • Additional Notes: This research was partially supported by NSF grant DMS-0701515.
  • Communicated by: Mario Bonk
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 3975-3981
  • MSC (2000): Primary 30C65; Secondary 54D05
  • DOI: https://doi.org/10.1090/S0002-9939-08-09444-6
  • MathSciNet review: 2425738