most citedIndices of the iterates of ({\Bbb R}^3)-homeomorphisms at fixed points which are isolated invariant sets

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math.DS2009★ 14 cited

Indices of the iterates of ({\Bbb R}^3)-homeomorphisms at fixed points which are isolated invariant sets

Patrice Le Calvez, Francisco R. Ruiz del Portal, José M. Salazar

Let (U \subset {\mathbb R}^3) be an open set and (f:U \to f(U) \subset {\mathbb R}^3) be a homeomorphism. Let (p \in U) be a fixed point. It is known that, if (\{p\}) is not an iso…

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…