Let X be an uncountable compact metrizable space of topological dimension zero. Given any a ∈[0,∞] there is a homeomorphism on X whose topological entropy is a.
@article{bwmeta1.element.bwnjournal-article-fmv162i3p233bwm,
author = {Jozef Bobok and Ond\v rej Zindulka},
title = {Topological entropy on zero-dimensional spaces},
journal = {Fundamenta Mathematicae},
volume = {159},
year = {1999},
pages = {233-249},
zbl = {0946.54016},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv162i3p233bwm}
}
Bobok, Jozef; Zindulka, Ondřej. Topological entropy on zero-dimensional spaces. Fundamenta Mathematicae, Tome 159 (1999) pp. 233-249. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv162i3p233bwm/
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