Open Access

Fixed point indices and manifolds with collars

Fixed Point Theory and Applications20062006:87657

https://doi.org/10.1155/FPTA/2006/87657

Received: 7 December 2004

Accepted: 24 July 2005

Published: 3 May 2006

Abstract

This paper concerns a formula which relates the Lefschetz number for a map to the fixed point index summed with the fixed point index of a derived map on part of the boundary of . Here is a compact manifold and is with a collar attached.

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Authors’ Affiliations

(1)
(2)
Mathematics Department, Purdue University

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Copyright

© C.-F. Benjamin and D. H. Gottlieb. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.