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In mathematics, triangulation describes the replacement of topological spaces by piecewise linear spaces, i.e. the choice of a homeomorphism in a suitable simplicial complex. Spaces being homeomorphic to a simplicial complex are called triangulable. Triangulation has various uses in different branches of mathematics, for instance in algebraic topology, in complex analysis or in modeling.

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  • In der Topologie, einem Teilgebiet der Mathematik, ist eine Triangulierung (oder Triangulation) eine Zerlegung eines Raumes in Simplizes (Dreiecke, Tetraeder oder deren höher-dimensionale Verallgemeinerungen). (de)
  • In mathematics, triangulation describes the replacement of topological spaces by piecewise linear spaces, i.e. the choice of a homeomorphism in a suitable simplicial complex. Spaces being homeomorphic to a simplicial complex are called triangulable. Triangulation has various uses in different branches of mathematics, for instance in algebraic topology, in complex analysis or in modeling. (en)
  • Na matemática, a topologia generaliza a noção de de uma forma natural, como segue: Uma triangulação de um espaço topológico é o complexo simplicial K, homeomorfo a X, juntamente com um homeomorfismo h: K X. A triangulação é útil para determinar as propriedades de um espaço topológico. Por exemplo, pode-se calcular os grupos de homologia e cohomologia de um espaço triangular usando as teorias de homologia e cohomologia simplicial em vez de teorias de homologia e cohomologia mais complicadas. (pt)
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  • 1440976 (xsd:integer)
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  • 12994 (xsd:nonNegativeInteger)
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  • 1118026951 (xsd:integer)
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  • July 2022 (en)
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  • What is a "piecewise-linear sphere"? (en)
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  • In der Topologie, einem Teilgebiet der Mathematik, ist eine Triangulierung (oder Triangulation) eine Zerlegung eines Raumes in Simplizes (Dreiecke, Tetraeder oder deren höher-dimensionale Verallgemeinerungen). (de)
  • In mathematics, triangulation describes the replacement of topological spaces by piecewise linear spaces, i.e. the choice of a homeomorphism in a suitable simplicial complex. Spaces being homeomorphic to a simplicial complex are called triangulable. Triangulation has various uses in different branches of mathematics, for instance in algebraic topology, in complex analysis or in modeling. (en)
  • Na matemática, a topologia generaliza a noção de de uma forma natural, como segue: Uma triangulação de um espaço topológico é o complexo simplicial K, homeomorfo a X, juntamente com um homeomorfismo h: K X. A triangulação é útil para determinar as propriedades de um espaço topológico. Por exemplo, pode-se calcular os grupos de homologia e cohomologia de um espaço triangular usando as teorias de homologia e cohomologia simplicial em vez de teorias de homologia e cohomologia mais complicadas. (pt)
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  • Triangulierung (Topologie) (de)
  • Triangulação (topologia) (pt)
  • Triangulation (topology) (en)
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