Answers are grounded in this paper and cite their sources.
Theoretical survey synthesizes integrability, cobordism, and classifying spaces in manifold topology, highlighting structural classification across dimensions.
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.
No takes yet. Share an insight, caveat, or question.
H. Blaine Lawson (1974) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: