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Geometrische Topologie, Dynamik und das Werk von William P. Thurston. (German) Zbl 0543.57004
Jahrb. Überblicke 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)