Hernández Corbato, LuisLe Calvez , PatriceRomero Ruiz del Portal, Francisco2023-06-192023-06-1920131465-306010.2140/gt.2013.17.2977https://hdl.handle.net/20.500.14352/33437This article includes an almost self-contained exposition on the discrete Conley index and its duality. We work with a locally defined homeomorphism f in R-d and an acyclic continuum X, such as a cellular set or a fixed point, invariant under f and isolated. We prove that the trace of the first discrete homological Conley index of f and X is greater than or equal to -1 and describe its periodical behavior. If equality holds then the traces of the higher homological indices are 0. In the case of orientation-reversing homeomorphisms of R-3, we obtain a characterization of the fixed point index sequence {i(f(n) (,) p}n >= 1 for a fixed point p which is isolated as an invariant set. In particular, we obtain that i(f , p) <= 1. As a corollary, we prove that there are no minimal orientation-reversing homeomorphisms in R-3.journal articlehttp://www.msp.warwick.ac.uk/gt/2013/17-05/p066.xhtmlmetadata only access514Fixed-point indexdynamical-systemshomeomorphismstheoremplanemapsGeometría1204 Geometría