Título: | Ergodic solenoidal homology. II. Density of ergodic solenoids. |
Autores: | Muñoz, Vicente ; Pérez Marco, Ricardo |
Tipo de documento: | texto impreso |
Editorial: | Austral Internet Publishing, 2009 |
Dimensiones: | application/pdf |
Nota general: | info:eu-repo/semantics/restrictedAccess |
Idiomas: | |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Topología , Tipo = Artículo |
Resumen: |
A measured solenoid is a laminated space endowed with a tranversal measure invariant by holonomy. A measured solenoid immersed in a smooth manifold produces a closed current (known as a generalized Ruelle-Sullivan current). Uniquely ergodic solenoids are those for which there is a unique (up to scalars) transversal measure. It is known that for any smooth manifold, any real homology class is represented by a uniquely ergodic solenoid. In this paper, we prove that the currents associated to uniquely ergodic solenoids are dense in the space of closed currents,therefore proving the abundance of such objects. |
En línea: | https://eprints.ucm.es/id/eprint/20884/1/VMu%C3%B1oz25.pdf |
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