Publications (16)
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 {…
On inverse shadowing
Chris Good, Joel Mitchell, Joe Thomas
We give a reformulation of the inverse shadowing property with respect to the class of all pseudo-orbits. This reformulation bears witness to the fact that the property is far stro…
Countable inverse limits of postcritical Ï-limit sets of unimodal maps
Chris Good, Robin Knight, Brian Raines
Let f be a unimodal map of the interval with critical point c. If the orbit of c is not dense then most points in lim{[0,1],f} have neighborhoods that are homeomorphic with the pro…
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…
Monotone Versions of Countable Paracompactness
Chris Good, Lylah Haynes
One possible natural monotone version of countable paracompactness, MCP, turns out to have some interesting properties. We investigate various other possible monotonizations of cou…
Monotone versions of -normality
Lylah Haynes, Chris Good
We continue the study of properties related to monotone countable paracompactness, investigating various monotone versions of -normality. We factorize monotone normality and st…