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Foliations and the topology of 3-manifolds
Author(s):
David
Gabai
Journal:
Bull. Amer. Math. Soc.
8
(1983),
77-80.
MSC (1980):
Primary 57R30, 57N10
MathSciNet review:
682826
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Additional information
References:
- [G1] D. Gabai, Foliations and genera of links, preprint. MR 780731
- [G2] D. Gabai, genera of the arborescent links, preprint. MR 823442
- [G3] D. Gabai, The Murasugi sum is a natural geometric operation, preprint. MR 813105
- [G4] D. Gabai, Foliations and the topology of 3-manifolds, preprint. MR 723813
- [L-R] F. Laudenbach and R. Roussarie, Un exemple de feuilletage sur S, Topology 9 (1970), 63-70. MR 250335
- [M] K. Murasugi, On a certain subgroup of an alternating link, Amer. J. Math. 85 (1963), 544-550. MR 157375
- [N] S. P. Novikov, Topology of foliations, Trans. Moscow Math. Soc. 14 (1965), 268-305. MR 200938
- [P] C. D. Papakyriakopoulos, On Dehn's Lemma and the asphericity of knots, Ann. of Math. (2) 66 (1957), 1-26. MR 90053
- [Re] S. Reeb, Sur certaines propriétés topologiques des variétés feuilletées, Actualités Sci. Indust. No. 1183= Publ. Inst. Math. Univ. Strasbourg, no. 11, Hermann, Paris, 1952, pp. 91-158. MR 55692
- [Ro] H. Rosenberg, Foliations by planes, Topology 7 (1968), 131-138. MR 228011
- [Sn] D. Sullivan, A homological characterization of foliations consisting of minimal surfaces, Comment. Math. Helv. 54 (1979), 218-223. MR 535056
- [T1] W. Thurston, A norm on the homology of 3-manifolds, preprint. MR 823443
- [T2] W. Thurston, The topology and geometry of 3-manifolds, Princeton notes.
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Additional Information:
DOI:
10.1090/S0273-0979-1983-15089-9
PII:
S 0273-0979(1983)15089-9
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