3 papers
math.DS2019
Homeomorphisms of unimodal inverse limit spaces with a non-recurrent postcritical point
Louis Block, James Keesling, Brian Raines +1
In this paper we show that the group of automorphisms of a non-recurrent tent map inverse limit is very simple by demonstrating that every homeomorphism of such a space is isotopic…
math.DS2019
Countable inverse limits of postcritical ω-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…
math.DS2012
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…