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arXiv · 0910.2913

Ergodic solenoidal homology: Realization theorem

Vicente Muñoz·Ricardo Perez-Marco
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Abstract

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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Vicente Muñoz, Ricardo Perez-Marco. 2009-10-15. Ergodic solenoidal homology: Realization theorem. https://arxiv.org/abs/0910.2913

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