Some remarks on degree theory for ${\text{\rm SO}(2)}$-equivariant transversal maps
Keywords
Equivariant degree theory, equivariant bifurcation theoryAbstract
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.Downloads
Published
2003-12-01
How to Cite
1.
HIRANO, Norimichi and RYBICKI, Sławomir. Some remarks on degree theory for ${\text{\rm SO}(2)}$-equivariant transversal maps. Topological Methods in Nonlinear Analysis. Online. 1 December 2003. Vol. 22, no. 2, pp. 253 - 272. [Accessed 18 April 2024].
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