%0 Journal Article
%A Romero Ruiz del Portal, Francisco
%A Salazar, J. M.
%T Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach
%D 2002
%@ 0166-8641
%U https://hdl.handle.net/20.500.14352/57898
%X Let U be an open subset of R2 and let f :U → R2 be a local homeomorphism. Let p € U be a non-repeller 4xed point of f suchth at {p} is an isolated invariant set. We introduce a particular class of index pairs for {p} that we call generalized 4ltration pairs. The computation of the 4xed point index of any iteration of f at p is quite easy once one knows a generalized 4ltration pair. The existence ofgeneralized 4ltration pairs provides a short and elementary proof of a theorem of P. Le Calvez and J.C.Yoccoz (Ann. of Meth. 146 (1997) 241–293), and it also allows to compute the 4xed point index of any iteration of arbitrary local homeomorphisms.
%~