# The Hopf type theorem for equivariant gradient local maps

@article{Bartomiejczyk2015TheHT, title={The Hopf type theorem for equivariant gradient local maps}, author={Piotr Bartłomiejczyk and Piotr Nowak-Przygodzki}, journal={Journal of Fixed Point Theory and Applications}, year={2015}, volume={19}, pages={2733-2753} }

We construct a degree-type otopy invariant for equivariant gradient local maps in the case of a real finite-dimensional orthogonal representation of a compact Lie group. We prove that the invariant establishes a bijection between the set of equivariant gradient otopy classes and the direct sum of countably many copies of $$\mathbb {Z}$$Z.

## 4 Citations

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