  The geometric notion of huskability initiated and developed in [B3], [BR]
,[EW], [GM] was subsequently extensively studied in the context of dentability
and Radon Nikodym Property in [GGMS]. In this work, we introduce a new
geometric property of Banach space, the Ball Huskable Property ($BHP$), namely,
the unit ball has relatively weakly open subsets of arbitrarily small diameter.
We compare this property to two related geometric properties, $BSCSP$ namely,
the unit ball has convex combination of slices of arbitrarily small diameter
and $BDP$ namely, the closed unit ball has slices of arbitrarily small
diameter. We show $BDP$ implies $BHP$ which in turn implies $BSCSP$ and none of
the implications can be reversed. We prove similar results for the
$w^*$-versions. We prove that all these properties are stable under $l_p$ sum
for $1\leq p \leq \infty$. These stability results lead to a discussion in the
context of ideals of Banach spaces. We prove that $BSCSP$ (respectively $BHP$,
$BDP$) can be lifted from an M-Ideal to the whole space. We also show similar
results for strict ideals. We note that the space $C(K,X)^*$ has $w^*$-$BSCSP$
(respectively $w^*$-$BHP$, $w^*$-$BDP$) when K is dispersed and $X^*$has the
$w^*$-$BSCSP$ (respectivley $w^*$-$BHP$, $w^*$-$BDP$).
