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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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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 $g^{-1}(a)=\emptyset$.
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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