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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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A minimum fixed point theorem for smooth fiber preserving maps
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by Catherine Lee PDF
Proc. Amer. Math. Soc. 135 (2007), 1547-1549 Request permission

Abstract:

Let $p:E\rightarrow B$ be a smooth fiber bundle. Given a smooth fiber preserving map $f:E\rightarrow E$, we will show that $f$ can be deformed by a smooth, fiber preserving homotopy to a smooth map $g:E\rightarrow E$ such that the number of fixed points of $g$ is equal to the fiberwise Nielsen number of $f$.
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Additional Information
  • Catherine Lee
  • Affiliation: Department of Mathematics, University of California, Los Angeles, California 90095-1555
  • Address at time of publication: 1111 Laveta Terrace, Los Angeles, California 90026
  • Email: cathylee@math.ucla.edu
  • Received by editor(s): July 7, 2005
  • Received by editor(s) in revised form: December 2, 2005
  • Published electronically: November 15, 2006
  • Additional Notes: This paper is based on a part of the author’s Ph.D. dissertation written under the supervision of Robert F. Brown.

  • Dedicated: This paper is dedicated to my advisor, Robert F. Brown
  • Communicated by: Paul Goerss
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 1547-1549
  • MSC (2000): Primary 55M20, 55R10, 58A05
  • DOI: https://doi.org/10.1090/S0002-9939-06-08600-X
  • MathSciNet review: 2276665