GEOMETRIC PROPERTIES OF HYPERBOLIC SETS IN DIMENSION
THREE
(PROPRIEDADES GEOMÉTRICAS DE CONJUNTOS HYPERBOLICOS
EM DIMENSÃO TRÊS)
Waliston Luiz Lopes Rodrigues Silva
IMPA and UFSJ
Resumo/Abstract:
We prove that, typically (open and dense) among horseshoes in
dimension 3 having a strong stable foliation with upper stable dimension larger than 1, projections of stable Cantor sets (intersections of the horseshoe with stable manifolds) along the strong stable
foliation (and also along foliations close to it) persistently contain
intervals.
Joint work with Carlos Gustavo Tamm de Araujo Moreira