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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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An improvement of the Poincaré-Birkhoff fixed point theorem
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by Patricia H. Carter PDF
Trans. Amer. Math. Soc. 269 (1982), 285-299 Request permission


If $g$ is a twist homeomorphism of an annulus $A$ in the plane which leaves at most one point in the interior of $A$ fixed, then there is an essential simple closed curve in the interior of $A$ which meets its image in at most one point; hence the annular region bounded by this simple closed curve and the inside component of the boundary of $A$ is mapped onto either a proper subset or a proper superset of itself.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 269 (1982), 285-299
  • MSC: Primary 54H25; Secondary 55M25, 58F99
  • DOI:
  • MathSciNet review: 637039