# 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}
}
• Published 1 October 2015
• Mathematics
• Journal of Fixed Point Theory and Applications
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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