$F$-Proximal Flows
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.
Keywords : $F$-proximal, first prolongation set
MSC numbers : 54H20
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