  In this work, we study ball separation characterization of small diameter
properties in Banach spaces. More precisely, we characterize Ball Dentable
Property (BDP), Ball Huskable Property (BHP) and their w* versions in terms of
ball separation in Banach spaces. We also obtain a necessary condition for the
existence of Ball Small Comination of Slice Property (BSCSP) in terms of ball
separation. Motivating from definitions of A -denting point and A -poin of
continuity in [CL], we introduce the notion of A -small combination of slice
point, and obtain a necessary ball separation condition for the existence of A
-small combination of slice point that provide us an improvement of the result
[BB, Proposition 2.5]. We prove that if the linear span of A -small combination
of slice points of B_X* is {\tau} A -dense in X*, then every closed bounded
convex subset in A is ball generated. We end up this note by introducing w*
semi pc in B_X* and we prove that a Banach space X has property (II) if and
only if every point in S_X* is w* semi pc of B_X*.
