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
Received: 22 April 2016 / Revised: 4 June 2016 / Accepted: 9 June 2016 / Published: 15 June 2016
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
is a subsemigroup not containing the unit of G
has zero topological entropy.
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MDPI and ACS Style
Huang, W.; Jin, L.; Ye, X. On Extensions over Semigroups and Applications. Entropy 2016, 18, 230.
Huang W, Jin L, Ye X. On Extensions over Semigroups and Applications. Entropy. 2016; 18(6):230.
Huang, Wen; Jin, Lei; Ye, Xiangdong. 2016. "On Extensions over Semigroups and Applications." Entropy 18, no. 6: 230.
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