RT Journal Article
T1 Fixed point indices of planar continuous maps
A1 Hernández Corbato, Luis
A1 Romero Ruiz del Portal, Francisco
AB We characterize the sequences of fixed point indices {i(f(n) ,p)} n >= 1 of fixed points that are isolated as an invariant set for a continuous map f in the plane. In particular, we prove that the sequence is periodic and i(f(n) ,p) <= 1 for every n >= 0. This characterization allows us to compute effectively the Lefschetz zeta functions for a wide class of continuous maps in the 2-sphere, to obtain new results of existence of infinite periodic orbits inspired on previous articles of J. Franks and to give a partial answer to a problem of M. Shub about the growth of the number of periodic orbits of degree-d maps in the 2-sphere.
PB American Institute of Mathematical Sciences
SN 1078-0947
YR 2015
FD 2015-07
LK https://hdl.handle.net/20.500.14352/23000
UL https://hdl.handle.net/20.500.14352/23000
LA eng
NO MINECO
NO CNPq fellowship (Brazil)
DS Docta Complutense
RD 27 mar 2026