On Extensions over Semigroups and Applications
Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
*
Author to whom correspondence should be addressed.
Academic Editor: Tomasz Downarowicz
Entropy 2016, 18(6), 230; https://doi.org/10.3390/e18060230
Received: 22 April 2016 / Revised: 4 June 2016 / Accepted: 9 June 2016 / Published: 15 June 2016
(This article belongs to the Special Issue Entropic Properties of Dynamical Systems)
Applying a theorem according to Rhemtulla and Formanek, we partially solve an open problem raised by Hochman with an affirmative answer. Namely, we show that if G is a countable torsion-free locally nilpotent group that acts by homeomorphisms on X , and is a subsemigroup not containing the unit of G such that for every , then has zero topological entropy.
View Full-Text
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Huang, W.; Jin, L.; Ye, X. On Extensions over Semigroups and Applications. Entropy 2016, 18, 230.
AMA Style
Huang W, Jin L, Ye X. On Extensions over Semigroups and Applications. Entropy. 2016; 18(6):230.
Chicago/Turabian StyleHuang, Wen; Jin, Lei; Ye, Xiangdong. 2016. "On Extensions over Semigroups and Applications" Entropy 18, no. 6: 230.
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
Search more from Scilit