Let f be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space (I,f), where I denotes the core of the map.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm209-1-6,
author = {Lori Alvin and Karen Brucks},
title = {Adding machines, endpoints, and inverse limit spaces},
journal = {Fundamenta Mathematicae},
volume = {209},
year = {2010},
pages = {81-93},
zbl = {1203.54031},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm209-1-6}
}
Lori Alvin; Karen Brucks. Adding machines, endpoints, and inverse limit spaces. Fundamenta Mathematicae, Tome 209 (2010) pp. 81-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm209-1-6/