Le Calvez, Patrice A dynamical property of homeomorphisms of the plane in the neighborhood of a fixed point of index \(>1\). (Une propriété dynamique des homéomorphismes du plan au voisinage d’un point fixe d’indice \(>1\).) (French) Zbl 0976.54046 Topology 38, No. 1, 23-35 (1999). Summary: We prove that every orientation preserving homeomorphism \(f\) of the plane defined locally around an isolated fixed point of Lefschetz index strictly larger than 1 has a positively or negatively wandering domain in this neighbourhood. Such a situation cannot occur when \(f\) is area preserving and the index must be smaller than or equal to 1. Cited in 7 Documents MSC: 54H20 Topological dynamics (MSC2010) 55M25 Degree, winding number PDFBibTeX XMLCite \textit{P. Le Calvez}, Topology 38, No. 1, 23--35 (1999; Zbl 0976.54046) Full Text: DOI