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math.DS2020
A characterization of -limit sets in subshifts of Baire space
Jonathan Meddaugh, Brian Raines
In this paper we consider the structure of -limit sets in subshifts of Baire space. We consider both subshifts of finite type and subshifts of bounded type and we demonstrate th…
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…