4 papers
The omega-limit sets of quadratic Julia sets
Andrew Barwell, Brian Raines
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 spac…
Characterizations of ω-Limit Sets of Topologically Hyperbolic Systems
Andrew Barwell, Chris Good, Piotr Oprocha +1
It is well known that ω-limit sets are internally chain transitive and have weak incompressibility; the converse is not generally true, in either case. However, it has been shown t…
Shadowing and Expansivity in Sub-Spaces
Andrew Barwell, Chris Good, Piotr Oprocha
We address various notions of shadowing and expansivity for continuous maps restricted to a proper subset of their domain. We prove new equivalences of shadowing and expansive prop…
On the omega-limit sets of tent maps
Andrew Barwell, Gareth Davies, Chris Good
For a continuous map f on a compact metric space (X,d), a subset D of X is internally chain transitive if for every x and y in D and every delta > 0 there is a sequence of points {…