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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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$G$-coincidences for maps of homotopy spheres into CW-complexes
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by Daciberg L. Gonçalves, Jan Jaworowski and Pedro L. Q. Pergher PDF
Proc. Amer. Math. Soc. 130 (2002), 3111-3115 Request permission

Abstract:

Let $G$ be a finite group acting freely in a CW-complex $\Sigma ^{m}$ which is a homotopy $m$-dimensional sphere and let $f:\Sigma ^{m} \to Y$ be a map of $\Sigma ^{m}$ to a finite $k$-dimensional CW-complex $Y$. We show that if $m\geq \vert G\vert k$, then $f$ has an $(H,G)$-coincidence for some nontrivial subgroup $H$ of $G$.
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Additional Information
  • Daciberg L. Gonçalves
  • Affiliation: Instituto de Matemática e Estatísca, Universidade de São Paulo, Rua do Matão, 1010, Agência Jardim Paulistano, Caixa Postal 66281, CEP 05315-970, São Paulo, SP, Brasil
  • Email: dlgoncal@ime.usp.br.
  • Jan Jaworowski
  • Affiliation: Department of Mathematics, Indiana University, Bloomington, Indiana 47405-5701
  • Email: jaworows@indiana.edu.
  • Pedro L. Q. Pergher
  • Affiliation: Departamento de Matemática, Universidade Federal de São Carlos, Rodovia Washington Luiz, km 235, Caixa Postal 676, CEP 13.565-905, São Carlos, SP, Brasil
  • Email: pergher@dm.ufscar.br.
  • Received by editor(s): December 14, 2000
  • Received by editor(s) in revised form: May 10, 2001
  • Published electronically: March 12, 2002
  • Additional Notes: The first author was partially supported by CNPq and FAPESP and the third author was partially supported by CNPq
  • Communicated by: Paul Goerss
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 3111-3115
  • MSC (1991): Primary 55M20; Secondary 55M35
  • DOI: https://doi.org/10.1090/S0002-9939-02-06435-3
  • MathSciNet review: 1908937