Foliations

1974/05/01 by H. Blaine Lawson, H. Blaine Lawson Jr. · 3 citations
Mathematics · #Geometric and Algebraic Topology #Advanced Differential Equations and Dynamical Systems #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.1090/s0002-9904-1974-13432-4

Abstract

Foliations of dimension-one. 3. Higher dimensional foliations; integrability criteria. 4. Foliations of codimension-one; existence theorems. 5. Notions of equivalence; foliated cobordism groups. 6. The general theory; classifying spaces and characteristic classes for foliations. 7. Results on open manifolds; the classification theory of Gromov-Haefliger-Phillips. 8. Results on closed manifolds; questions of compact leaves and stability.

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