# 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}
}
• 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.
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