Ergodic solenoidal homology: Realization theorem

Details Ergodic solenoidal homology: Realization theorem Ergodic solenoidal homology: Realization theorem

2009-10-15

arxiv.org/abs/0910.2913v1

Mathematics

Differential Geometry

16 pages. The paper arXiv:math/0702501 has been divided into three parts. The first two parts are arXiv:0910.2836 and arXiv:09

Scientific paper

We define generalized currents associated with immersions of abstract oriented solenoids with a transversal measure. We realize geometrically the full real homology of a compact manifold with these generalized currents, and more precisely with immersions of minimal uniquely ergodic solenoids. This makes precise and geometric De Rham's realization of the real homology by only using a restricted geometric subclass of currents.

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