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Foliations and 3-manifolds. (English) Zbl 0754.57008

Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. I, 609-619 (1991).
[For the entire collection see Zbl 0741.00019.]
This expository paper is the text of an invited address by the author at the International Congress of Mathematicians in Kyoto, Japan. It is an extensive survey of the profound applications of the theory of foliations and laminations in 3-manifold topology. It is an authoritative account since Gabai himself is one of the principal players in this field. Included is an extensive, though not exhaustive, bibliography of sixty- seven items.

MSC:

57N10 Topology of general \(3\)-manifolds (MSC2010)
57R30 Foliations in differential topology; geometric theory

Citations:

Zbl 0741.00019
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