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Geometrische Topologie, Dynamik und das Werk von William P. Thurston. (German) Zbl 0543.57004
Jahrb. √úberblicke Math. 1984, Math. Surv. 17, 221-227 (1984).
[For the entire collection see Zbl 0535.00005.]
A survey of the work of Thurston, illustrated by comparisons with the theory of surfaces. The author complains rightly that most of the recent works of Thurston is not in the public domain and therefore not open to public scrutiny in an area that abounds with wrong proofs (Dehn’s Lemma!), wrong counterexamples (Whitehead), etc.
Reviewer: H.Guggenheimer
MSC:
57-03 History of manifolds and cell complexes
01A65 Development of contemporary mathematics
57N10 Topology of general \(3\)-manifolds (MSC2010)
57N05 Topology of the Euclidean \(2\)-space, \(2\)-manifolds (MSC2010)
57R50 Differential topological aspects of diffeomorphisms
37D99 Dynamical systems with hyperbolic behavior
57R30 Foliations in differential topology; geometric theory
30F40 Kleinian groups (aspects of compact Riemann surfaces and uniformization)