Nielsen–Thurston classification
In mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact orientable surface. William Thurston's theorem completes the work initiated by Jakob Nielsen . Given a homeomorphism f : S → S, there is a map g isotopic to f such that at least one of the following holds:
* g is periodic, i.e. some power of g is the identity;
* g preserves some finite union of disjoint simple closed curves on S (in this case, g is called reducible); or
* g is pseudo-Anosov.
Automorphism of a surfaceAutomorphisms of a surfaceClassification of surface automorphismsNielsen-Thurston classificationNielsen-Thurston classification of surface automorphismsSurface automorphismThurston's classificationThurston's classification of surface automorphismsThurston's classification theoremThurston classificationThurston classification of surface automorphisms
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Nielsen–Thurston classification
In mathematics, Thurston's classification theorem characterizes homeomorphisms of a compact orientable surface. William Thurston's theorem completes the work initiated by Jakob Nielsen . Given a homeomorphism f : S → S, there is a map g isotopic to f such that at least one of the following holds:
* g is periodic, i.e. some power of g is the identity;
* g preserves some finite union of disjoint simple closed curves on S (in this case, g is called reducible); or
* g is pseudo-Anosov.
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In der Mathematik beschreibt d ...... üller-Theorie gab Lipman Bers.
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In mathematics, Thurston's cla ...... applied to this homeomorphism.
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Jakob Nielsen
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Jakob
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Nielsen
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In der Mathematik beschreibt d ...... üller-Theorie gab Lipman Bers.
@de
In mathematics, Thurston's cla ...... le); or
* g is pseudo-Anosov.
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Nielsen-Thurston-Klassifikation
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Nielsen–Thurston classification
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