Some remarks on degree theory for ${\text{\rm SO}(2)}$-equivariant transversal maps

Norimichi Hirano, Sławomir Rybicki

DOI: http://dx.doi.org/10.12775/TMNA.2003.039

Abstract


The aim of this article is to introduce a new class $\text{\rm SO}(2)$-equivariant
transversal maps $\text{\rm cl}(\Omega),\partial \Omega)$ and to define
degree theory for such maps. We define degree for $\text{\rm SO}(2)$-equivariant transversal maps and prove some properties
of this invariant. Moreover, we characterize $\text{\rm SO}(2)$-equivariant transversal isomorphisms and derive formula
for degree of such isomorphisms.

Keywords


Equivariant degree theory; equivariant bifurcation theory

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