PageHeader : Funkcialaj Bkvacioj, 15 (1972), 39-59 Title : Weak Attraction, Minimality, Recurrence, Title : and Almost Periodicity in Semi-Systems* AuthorInfo : By Nam P. BHATIA** and Shui-Nee CHOw***. AuthorInfo : (University of Maryland) section : 1. Introduction. section : 2. Basic Definitions and Elementary Results. section : 3. Weak Attraction and the Existence of Positive Minimal Sets. section : 4. Positive Recurrence. Asymptotic Recurrence. subsection : 4. 12. Theorem. For any $x\in X$ , section : 5. Uniform Asymptotic Recurrence. section : 6. Asymptotic Almost Periodicity. section : Bibliography