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simplicial face

См. также в других словарях:

  • Simplicial complex — In mathematics, a simplicial complex is a topological space of a particular kind, constructed by gluing together points, line segments, triangles, and their n dimensional counterparts (see illustration). Simplicial complexes should not be… …   Wikipedia

  • Simplicial set — In mathematics, a simplicial set is a construction in categorical homotopy theory which is a purely algebraic model of the notion of a well behaved topological space. Historically, this model arose from earlier work in combinatorial topology and… …   Wikipedia

  • Simplicial homology — In mathematics, in the area of algebraic topology, simplicial homology is a theory with a finitary definition, and is probably the most tangible variant of homology theory. Simplicial homology concerns topological spaces whose building blocks are …   Wikipedia

  • Complexe simplicial — Pour les articles homonymes, voir Complexe. Représentation d un complexe simplicial. En mathématiques, un complexe simplicial est un objet géométri …   Wikipédia en Français

  • Abstract simplicial complex — In mathematics, an abstract simplicial complex is a purely combinatorial description of the geometric notion of a simplicial complex, consisting of a family of finite sets closed under the operation of taking subsets. In the context of matroids… …   Wikipedia

  • Complexe Simplicial — Exemple de complexe simplicial. Les complexes simpliciaux sont utilisés en topologie algébrique afin d étudier les polyèdres et, a posteriori, la triangulation des espaces topologiques. Formellement, un complexe simplicial est un ensemble fini de …   Wikipédia en Français

  • TOPOLOGIE - Topologie algébrique — Inventée au début du XXe siècle pour résoudre des problèmes géométriques, la topologie algébrique connut un grand développement grâce à l’introduction de constructions algébriques de plus en plus abstraites. Pour clarifier l’exposé, on a… …   Encyclopédie Universelle

  • Simplex — For other uses, see Simplex (disambiguation). A regular 3 simplex or tetrahedron In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimension. Specifically, an n… …   Wikipedia

  • Nerve (category theory) — In category theory, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms of C. The geometric realization of this simplicial set is a topological space, called the classifying space of the category C …   Wikipedia

  • Numerical continuation — is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter λ is usually a real scalar, and the solution an n vector. For a fixed parameter value λ,, maps Euclidean n space into itself. Often the …   Wikipedia

  • Delta set — In mathematics, a delta set (or Δ set) S is a combinatorial object that is useful in the construction and triangulation of topological spaces, and also in the computation of related algebraic invariants of such spaces. A delta set is somewhat… …   Wikipedia

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