Ergodic solenoidal homology: Realization theorem

DOI10.1007/s00220-010-1183-8zbMath1220.57021arXiv0910.2913OpenAlexW2018909948MaRDI QIDQ2430675

Vicente Muñoz, Ricardo Pérez-Marco

Publication date: 8 April 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2913

zbMATH Keywords

homologyrealisationSolenoidgeometric current

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Foliations in differential topology; geometric theory (57R30) Ergodic theory (37A99) Homology and cohomology theories in algebraic topology (55N99) Currents in global analysis (58A25) Realizing cycles by submanifolds (57R95)

Related Items (3)

Metric cycles, curves and solenoids ⋮ Low-dimensional solenoidal manifolds ⋮ Ergodic solenoids and generalized currents

Cites Work

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• The compression theorem I
• Asymptotic cycles
• Groupes d'homotopie et classes de groupes abéliens
• Quelques propriétés globales des variétés différentiables
• Ergodic solenoidal homology: density of ergodic solenoids
• René Thom’s work on geometric homology and bordism
• Schwartzman Cycles and Ergodic Solenoids
• Cobordism groups of immersions

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