Wecken property for roots
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- by Daciberg Gonçalves and Peter Wong PDF
- Proc. Amer. Math. Soc. 133 (2005), 2779-2782 Request permission
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 $g^{-1}(a)=\emptyset$.References
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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
- 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
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2779-2782
- MSC (2000): Primary 55M20, 55R20, 55T10; Secondary 55S35
- DOI: https://doi.org/10.1090/S0002-9939-05-07820-2
- MathSciNet review: 2146228