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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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A Weakly Chainable Tree-Like Continuum without the Fixed Point Property
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by Piotr Minc
Trans. Amer. Math. Soc. 351 (1999), 1109-1121
DOI: https://doi.org/10.1090/S0002-9947-99-02071-1

Abstract:

An example of a fixed points free map is constructed on a tree-like, weakly chainable continuum.
References
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Bibliographic Information
  • Piotr Minc
  • Affiliation: Department of Mathematics, Auburn University, Auburn, Alabama 36849
  • Email: mincpio@mail.auburn.edu
  • Received by editor(s): May 20, 1996
  • Received by editor(s) in revised form: March 6, 1997
  • Additional Notes: This research was supported in part by NSF grant # DMS-9505108.
    The author is grateful to Charles L. Hagopian for suggesting several valuable improvements
  • © Copyright 1999 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 351 (1999), 1109-1121
  • MSC (1991): Primary 54F15; Secondary 54H25
  • DOI: https://doi.org/10.1090/S0002-9947-99-02071-1
  • MathSciNet review: 1451610