In this paper we characterize \w-limit sets of dendritic Julia sets for
quadratic maps. We use Baldwin's symbolic representation of these spaces as a
non-Hausdorff itinerary space and prove that quadratic maps with dendritic
Julia sets have shadowing, and also that for all such maps, a closed invariant
set is an \w-limit set of a point if, and only if, it is internally chain
transitive.Comment: 24 page
