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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The universal minimal flow of the homeomorphism group of the Lelek fan
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by Dana Bartošová and Aleksandra Kwiatkowska PDF
Trans. Amer. Math. Soc. 371 (2019), 6995-7027 Request permission

Abstract:

We compute the universal minimal flow of the homeomorphism group of the Lelek fan—a one-dimensional tree-like continuum with many symmetries.
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Additional Information
  • Dana Bartošová
  • Affiliation: Institute de Matematica e Estatística, Universidade de São Paulo, Brazil; and Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania
  • Email: dbartoso@andrew.cmu.edu
  • Aleksandra Kwiatkowska
  • Affiliation: Institut für Mathematische Logik und Grundlagenforschung, Universität Münster, Einsteinstrasse 62, 48149 Münster, Germany; and Instytut Matematyczny, Uniwersytet Wrocławski, plac Grunwaldzki 2/4, 50-384 Wrocław, Poland
  • Email: kwiatkoa@uni-muenster.de
  • Received by editor(s): June 28, 2017
  • Received by editor(s) in revised form: February 6, 2018
  • Published electronically: September 25, 2018
  • Additional Notes: The first author was supported by FAPESP (grant 2013/14458-9) and FAPESP (grant 2014/12405-8).
    The second author was supported by Narodowe Centrum Nauki grant 2016/23/D/ST1/01097.
  • © Copyright 2018 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 371 (2019), 6995-7027
  • MSC (2010): Primary 05D10, 37B05, 54F15, 03C98
  • DOI: https://doi.org/10.1090/tran/7548
  • MathSciNet review: 3939568