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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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Open and monotone fixed point free maps on uniquely arcwise connected continua
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by Lee Mohler and Lex G. Oversteegen PDF
Proc. Amer. Math. Soc. 95 (1985), 476-482 Request permission

Abstract:

In this note we will construct uniquely arcwise connected continua admitting open and monotone fixed point free mappings, respectively. We will also show that each locally one-to-one map on a uniquely arcwise connected continuum has a fixed point.
References
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 95 (1985), 476-482
  • MSC: Primary 54F20; Secondary 54F50, 54H25
  • DOI: https://doi.org/10.1090/S0002-9939-1985-0806091-X
  • MathSciNet review: 806091