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About: Curve complex

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In mathematics, the curve complex is a simplicial complex C(S) associated to a finite-type surface S, which encodes the combinatorics of simple closed curves on S. The curve complex turned out to be a fundamental tool in the study of the geometry of the Teichmüller space, of mapping class groups and of Kleinian groups. It was introduced by W.J.Harvey in 1978.

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  • In der Mathematik ist der Kurvenkomplex einer Fläche ein wesentliches Hilfsmittel zur Untersuchung der Abbildungsklassengruppe der Fläche. (de)
  • In mathematics, the curve complex is a simplicial complex C(S) associated to a finite-type surface S, which encodes the combinatorics of simple closed curves on S. The curve complex turned out to be a fundamental tool in the study of the geometry of the Teichmüller space, of mapping class groups and of Kleinian groups. It was introduced by W.J.Harvey in 1978. (en)
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  • In der Mathematik ist der Kurvenkomplex einer Fläche ein wesentliches Hilfsmittel zur Untersuchung der Abbildungsklassengruppe der Fläche. (de)
  • In mathematics, the curve complex is a simplicial complex C(S) associated to a finite-type surface S, which encodes the combinatorics of simple closed curves on S. The curve complex turned out to be a fundamental tool in the study of the geometry of the Teichmüller space, of mapping class groups and of Kleinian groups. It was introduced by W.J.Harvey in 1978. (en)
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  • Kurvenkomplex (de)
  • Curve complex (en)
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