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

Mostafa Nassar

Department of Mathematics, Acadia University, N.S., Wolfville BOP 1X0, Canada

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.