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math.DS2016★ 9 cited
Fixed point indices of planar continuous maps
Luis Hernandez-Corbato, Francisco R. Ruiz del Portal
We characterize the sequences of fixed point indices of fixed points that are isolated as an invariant set and continuous maps in the plane. In particular,…
math.DS2007★ 4 cited
Indices of the iterates of -homeomorphisms at Lyapunov stable fixed points
Francisco R. Ruiz del Portal, José Manuel Salazar
Given any positive sequence (\{c_n\}_{n \in {\Bbb N}}), we construct orientation preserving homeomorphisms (f:{\Bbb R}^3 \to {\Bbb R}^3) such that (Fix(f)=Per(f)=\{0\}), (0) is Lya…