We prove that by considering a finitary (almost continuous) symbolic extension of a topological dynamical system instead of a continuous extension, one cannot achieve any drop of the entropy of the extension.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-16,
author = {Jacek Serafin},
title = {Universally finitary symbolic extensions},
journal = {Fundamenta Mathematicae},
volume = {205},
year = {2009},
pages = {281-285},
zbl = {1187.37013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-16}
}
Jacek Serafin. Universally finitary symbolic extensions. Fundamenta Mathematicae, Tome 205 (2009) pp. 281-285. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-16/