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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A minimum fixed point theorem for smooth fiber preserving maps


Author: Catherine Lee
Journal: Proc. Amer. Math. Soc. 135 (2007), 1547-1549
MSC (2000): Primary 55M20, 55R10, 58A05
Published electronically: November 15, 2006
MathSciNet review: 2276665
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Abstract | References | Similar Articles | Additional Information

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

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08600-X
PII: S 0002-9939(06)08600-X
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
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.