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On the existence of G-equivariant maps

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Abstract

Let G be a compact Lie group. Let X, Y be free G-spaces. In this paper, by using the numerical index i (X; R), under cohomological conditions on the spaces X and Y, we consider the question of the existence of G-equivariant maps f: X → Y.

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Author information

Authors and Affiliations

  1. Faculdade de Matemática, Universidade Federal de Uberlândia, 38408-100, Uberlandia, MG, Brazil

    Francielle R. C. Coelho

  2. Departamento de Matemática-ICMC, Universidade de São Paulo, 13560-970, São Carlos, SP, Brazil

    Denise de Mattos

  3. Departamento de Matemática, Universidade Federal de São Carlos, 13565-905, São Carlos, SP, Brazil

    Edivaldo L. dos Santos

Authors
  1. Francielle R. C. Coelho
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  2. Denise de Mattos
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  3. Edivaldo L. dos Santos
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Corresponding author

Correspondence to Francielle R. C. Coelho.

Additional information

The author was supported by CAPES.

The author was supported in part by CNPq of Brazil Grant number 308390/2008-3 and by FAPESP.

The author was supported in part by CNPq of Brazil Grant number 304480/2008-8 and by FAPESP

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Coelho, F.R.C., de Mattos, D. & dos Santos, E.L. On the existence of G-equivariant maps. Bull Braz Math Soc, New Series 43, 407–421 (2012). https://doi.org/10.1007/s00574-012-0019-x

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  • DOI: https://doi.org/10.1007/s00574-012-0019-x

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