locally maximal


Let f:MM be a diffeomorphismMathworldPlanetmath of a smooth manifold M, and let Λ be a hyperbolic set for f. We say that Λ is locally maximal or basic if there exists a neighborhoodMathworldPlanetmath U of Λ such that

Λ=n=-fn(U¯).
Title locally maximal
Canonical name LocallyMaximal
Date of creation 2013-03-22 14:07:24
Last modified on 2013-03-22 14:07:24
Owner Koro (127)
Last modified by Koro (127)
Numerical id 5
Author Koro (127)
Entry type Definition
Classification msc 37B35
Classification msc 37D05
Synonym basic set