Ergodic Solenoidal Homology: Realization Theorem.

Muñoz, Vicente; Pérez Marco, Ricardo

Ergodic Solenoidal Homology: Realization Theorem.

dc.contributor.author	Muñoz, Vicente
dc.contributor.author	Pérez Marco, Ricardo
dc.date.accessioned	2023-06-20T00:18:47Z
dc.date.available	2023-06-20T00:18:47Z
dc.date.issued	2011
dc.description.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.
dc.description.department	Depto. de Álgebra, Geometría y Topología
dc.description.faculty	Fac. de Ciencias Matemáticas
dc.description.refereed	TRUE
dc.description.sponsorship	MEC
dc.description.sponsorship	CNRS
dc.description.status	pub
dc.eprint.id	https://eprints.ucm.es/id/eprint/16961
dc.identifier.doi	10.1007/s00220-010-1183-8
dc.identifier.issn	0010-3616
dc.identifier.officialurl	http://www.springerlink.com/content/v04g2222n3526522/fulltext.pdf
dc.identifier.relatedurl	http://www.springerlink.com
dc.identifier.uri	https://hdl.handle.net/20.500.14352/42378
dc.issue.number	3
dc.journal.title	Communications in Mathematical Physics
dc.language.iso	eng
dc.page.final	753
dc.page.initial	737
dc.publisher	Springer
dc.relation.projectID	MTM2007-63582.
dc.relation.projectID	UMR 7539
dc.rights.accessRights	restricted access
dc.subject.cdu	5151.1
dc.subject.keyword	Solenoid
dc.subject.keyword	homology
dc.subject.keyword	rRealisation
dc.subject.keyword	Geometric current
dc.subject.ucm	Topología
dc.subject.unesco	1210 Topología
dc.title	Ergodic Solenoidal Homology: Realization Theorem.
dc.type	journal article
dc.volume.number	302
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