Commun. Korean Math. Soc. 1998 Vol. 13, No. 1, 131-136
Young-Key Kim, Hee-Young Byun Myong Ji University, Myong Ji University
Abstract : The proximal flow have been introduced and studied by J. Auslander [1] and R. Ellis [2]. S. Glasner showed the various properties of the proximal flow in [7]. S. K. Kaul [3] have introduced the first prolongation set which contains the orbit closure. We define the $F$-proximal flow and $FP_{\pi}(y)$ by using the first prolongation set and investigated its properties.