# 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} }

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.

## 4 Citations

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