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/