Franks, John Area preserving homeomorphisms of open surfaces of genus zero. (English) Zbl 0891.58033 New York J. Math. 2, 1-19 (1996). The author shows that an area preserving homeomorphism of the open annulus which has at least one periodic point must have infinitely many interior periodic points. He clarifies that the result has been claimed in an earlier paper [J. Franks, Invent. Mat. 108, No. 2, 403-418 (1992; Zbl 0766.53037)], but the proof contained a gap. Reviewer: U.D’Ambrosio (São Paulo) Cited in 4 ReviewsCited in 34 Documents MSC: 37C25 Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems Keywords:area preserving homeomorphisms; open surfaces of genus zero Citations:Zbl 0766.53037 PDFBibTeX XMLCite \textit{J. Franks}, New York J. Math. 2, 1--19 (1996; Zbl 0891.58033) Full Text: EuDML EMIS