Ergodic solenoids and generalized currents
arXiv:0910.2836
Abstract
We introduce the concept of solenoid as an abstract laminated space. We do a thorough study of solenoids, leading to the notion of ergodic and uniquely ergodic solenoids. We define generalized currents associated with immersions of oriented solenoids with a transversal measure into smooth manifolds, generalizing Ruelle-Sullivan currents.
28 pages, 2 figures. Fully revised presentation of the paper. Accepted in Revista Matematica Complutense. The final publication is available at http://www.springerlink.com