Some remarks on degree theory for ${\text{\rm SO}(2)}$-equivariant transversal maps
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Equivariant degree theory, equivariant bifurcation theoryAbstrakt
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.Pobrania
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2003-12-01
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HIRANO, Norimichi & RYBICKI, Sławomir. Some remarks on degree theory for ${\text{\rm SO}(2)}$-equivariant transversal maps. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2003, T. 22, nr 2, s. 253–272. [udostępniono 22.7.2024].
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