RT Journal Article
T1 Ergodic solenoidal homology. II. Density of ergodic solenoids.
A1 Muñoz, Vicente
A1 Pérez Marco, Ricardo
AB 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 closedcurrent (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.
PB Austral Internet Publishing
SN 1449-5910
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50579
UL https://hdl.handle.net/20.500.14352/50579
LA eng
NO Special Issue in Honor of the 100th Anniversary of S.M. Ulam
DS Docta Complutense
RD 4 abr 2025