  We prove that pseudoholomorphic curves intersect complex 2-cycles positively
in almost complex 4-manifolds. This makes possible a general and conceptually
simple proof that an almost complex 4-manifold with many curves admits a taming
symplectic structure, as envisioned by Gromov. Furthermore, we prove that the
positivity of intersections between pseudoholomorphic curves is stable, in a
geometric sense.
