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

 

Wecken property for roots


Authors: Daciberg Gonçalves and Peter Wong
Journal: Proc. Amer. Math. Soc. 133 (2005), 2779-2782
MSC (2000): Primary 55M20, 55R20, 55T10; Secondary 55S35
Published electronically: March 22, 2005
MathSciNet review: 2146228
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Abstract: We show that maps from a compact space into a topological manifold which have geometric Nielsen root number zero satisfy the Wecken property, i.e., $N(f;a)=0 \Rightarrow f\sim g$ such that $g^{-1}(a)=\emptyset$.


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Additional Information

Daciberg Gonçalves
Affiliation: Department de Matemática - IME - USP, Caixa Postal 66.281, CEP 05311-970, São Paulo - SP, Brasil
Email: dlgoncal@ime.usp.br

Peter Wong
Affiliation: Department of Mathematics, Bates College, Lewiston, Maine 04240
Email: pwong@bates.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07820-2
PII: S 0002-9939(05)07820-2
Keywords: Nielsen number, Reidemeister number, Wecken property
Received by editor(s): October 7, 2003
Received by editor(s) in revised form: April 28, 2004
Published electronically: March 22, 2005
Additional Notes: This work was conducted during the first author’s visit to Bates College, April 11-23, 2003, and the second author’s visits to São Paulo, May 13-20, 2003 and April 27 - May 4, 2004. The first author’s visit was partially supported by the “Projeto temático Topologia Algébrica e Geométrica-FAPESP". The second author’s visits were partially supported by a grant from Bates College, the N.S.F., and the “Projeto temático Topologia Algébrica e Geométrica-FAPESP"
Communicated by: Paul Goerss
Article copyright: © Copyright 2005 American Mathematical Society