  In this note we study the open-point topological games in order to analyze
the least upper bound for density of dense subsets of a topological space. This
way we may also analyze the behavior of such cardinal invariants in taking
products of spaces. Various related cardinal equalities and inequalities are
given. As an application we take a look at Banach spaces with the property
(CSP) which can be formulated by stating that each weak-star dense linear
subspace of the dual is weak-star separable.
