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A measured solenoid is a laminated space endowed with a tranversal measureinvariant by holonomy, as defined in arXiv:0910.2836. A measured solenoidimmersed in a smooth manifold produces a closed current (known as generalizedRuelle-Sullivan current). Uniquely ergodic solenoids are those for which thereis a unique (up to scalars) transversal measure. By the results inarXiv:0910.2913, for any smooth manifold, any real homology class isrepresented by a uniquely ergodic solenoid. In this paper, we prove that thecurrents associated to uniquely ergodic solenoids are dense in the space ofclosed currents, therefore proving the abundance of such objects.

Ergodic solenoidal homology: density of ergodic solenoids