International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 2, Pages 319-322
doi:10.1155/S016117128600039X
Recurrent and weakly recurrent points in βG
Department of Mathematics, Acadia University, N.S., Wolfville BOP 1X0, Canada
Received 19 April 1983
Copyright © 1986 Mostafa Nassar. 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.
Abstract
It is shown in this paper that if βG is the Stone-Čech compactification of a group G, and G satisfying a certain condition, then there is a weakly recurrent point in βG which is not almost periodic, and if another condition will be added, then there is a recurrent point in βG which is not almost periodic point.