Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach

DOI10.1016/S0040-9383(01)00035-0zbMath1009.54043OpenAlexW1994992521MaRDI QIDQ1849802

Francisco Romero Ruiz del Portal, José Miguel Salazar

Publication date: 2 December 2002

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0040-9383(01)00035-0

zbMATH Keywords

filtration pair

Mathematics Subject Classification ID

Related Items (14)

Fixed point index and decompositions of isolated invariant compacta ⋮ Planar isolated and stable fixed points have index =1 ⋮ Isolating blocks of isolated invariant continua and fixed point index ⋮ Fixed point indices of iterates of a low-dimensional diffeomorphism at a fixed point which is an isolated invariant set ⋮ About the homological discrete Conley index of isolated invariant acyclic continua ⋮ Fixed points of the area preserving Poincaré maps on two-manifolds ⋮ Local fixed point indices of iterations of planar maps ⋮ Indices of the iterates of \(\mathbb R^3\)-homeomorphisms at Lyapunov stable fixed points ⋮ Periodic points of the planar area preserving Poincaré map inside isolating segment ⋮ A Poincaré formula for the fixed point indices of the iterates of arbitrary planar homeomorphisms ⋮ Realization of all Dold's congruences with stability ⋮ Fixed point index in symmetric products ⋮ Stable sets of planar homeomorphisms with translation pseudo-arcs ⋮ Fixed point indices of planar continuous maps

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