RT Journal Article
T1 Fixed point index of iterations of local homeomorphisms of the plane: a Conley index approach
A1 Romero Ruiz del Portal, Francisco
A1 Salazar, J. M.
AB 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.
PB Elsevier Science
SN 0166-8641
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/57898
UL https://hdl.handle.net/20.500.14352/57898
LA eng
DS Docta Complutense
RD 26 abr 2025