  We characterize the boundaries of positive holomorphic chains (with both
compact and non-compact support) in an arbitrary complex manifold.
  We then consider a compact oriented real submanifold of dimension 2p-1 in a
compact Kahler manifold X and address the question of which relative homology
classes in H_{2p}(X,M;Z) are represented by positive holomorphic chains.
Specifically, we define what it means for a class u in H_{2p}(X,M;Z) to be of
type (p,p) and positive. It is then shown that u has these properties if and
only if u = [T+S] where T is a positive holomorphic chain with dT = du and S is
a positive (p,p)-current with dS = 0.
