| Popis: |
By relating the set of branch points \begin{document}$ \mathcal{B} (f) $\end{document} of a Fredholm mapping \begin{document}$ f $\end{document} to linearized bifurcation, we show, among other things, that under mild local assumptions at a single point, the set \begin{document}$ \mathcal B(f) $\end{document} is sufficiently large to separate the domain of the mapping. In the variational case, we will also provide estimates from below for the number of connected components of the complement of \begin{document}$ \mathcal B(f). $\end{document} |
