12 citations · 29 across the 10 of their papers we have counts for
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math.DS2011★ 3 cited
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…
math.DS2011★ 10 cited
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…