• DOI:10.12775/TMNA.2009.018
• Corpus ID: 51797141

A decomposition formula for equivariant stable homotopy classes

@article{Marzantowicz2009ADF,
  title={A decomposition formula for equivariant stable homotopy classes},
  author={Waclaw Marzantowicz and Carlos Prieto},
  journal={Topological Methods in Nonlinear Analysis},
  year={2009},
  volume={33},
  pages={285-291}
}

• W. Marzantowicz, C. Prieto
• Published 1 June 2009
• Mathematics
• Topological Methods in Nonlinear Analysis

For any compact Lie group $G$, we give a decomposition
of the group $\{X,Y\}_G^k$ of (unpointed) stable $G$-homotopy
classes as a direct sum of subgroups of fixed orbit types.
This is done by interpreting the $G$-homotopy classes
in terms of the generalized fixed-point transfer
and making use of conormal maps.