Muñoz, VicentePérez Marco, RicardoRassias, ThemistoclesBrzdek, Janusz2023-06-202023-06-202012978-1-4614-0054-710.1007/978-1-4614-0055-4_39https://hdl.handle.net/20.500.14352/45446Dedicated to the Memory of the 100th Anniversary of S. M. UlamA measured solenoid is a compact laminated space endowed with a transversal measure. The De Rham L 2-cohomology of the solenoid is defined by using differential forms which are smooth in the leafwise directions and L 2 in the transversal direction. We develop the theory of harmonic forms for Riemannian measured solenoids, and prove that this computes the De Rham L 2-cohomology of the solenoid.This implies in particular a Poincaré duality result.engbook parthttp://link.springer.com/chapter/10.1007%2F978-1-4614-0055-4_39http://link.springer.comopen access515.1SolenoidsHarmonic formsCohomologyHodge theory.Topología1210 Topología