Leśniak, Zbigniew On fractional iterates of a homeomorphism of the plane. (English) Zbl 1064.39025 Ann. Pol. Math. 79, No. 2, 129-137 (2002). Summary: We find all continuous iterative roots of \(n\)th order of a Sperner homeomorphism of the plane onto itself [cf. E. Sperner, Abh. Math. Semin. Hamb. Univ. 10, 1–48 (1934; Zbl 0009.18305)]. Cited in 10 Documents MSC: 39B12 Iteration theory, iterative and composite equations 54H20 Topological dynamics (MSC2010) 37E30 Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces Keywords:iterative root; Sperner homeomorphism Citations:Zbl 0009.18305 PDFBibTeX XMLCite \textit{Z. Leśniak}, Ann. Pol. Math. 79, No. 2, 129--137 (2002; Zbl 1064.39025) Full Text: DOI