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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

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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References | Similar articles | 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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