Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 262475, 5 pages
A Note on Almost Periodic Points and Minimal Sets in - and -Spaces
1Institute of Mathematics, Shantou University, Shantou, Guangdong 515063, China
2Institute of Mathematics, Guangxi University, Nanning, Guangxi 530004, China
Received 10 February 2008; Accepted 17 April 2008
Academic Editor: Leonid Berezansky
Copyright © 2008 Jie-Hua Mai and Xin-He Liu. 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.
We show that (1) there exist almost periodic orbits in -spaces of which the closures are not minimal sets; (2) there exist minimal sets in
locally compact -spaces which are not compact; (3) there exist almost periodic orbits in -spaces of which the closures contain not only almost periodic points. These
give answers to the three problems given by Mai and Sun in (2007).