simplicial subdivision
1Simplicial 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… …
2Simplicial sphere — In geometry and combinatorics, a simplicial (or combinatorial) d sphere is a simplicial complex homeomorphic to the d dimensional sphere. Some simplicial spheres arise as the boundaries of convex polytopes, however, in higher dimensions most… …
3Simplicial approximation theorem — In mathematics, the simplicial approximation theorem is a foundational result for algebraic topology, guaranteeing that continuous mappings can be (by a slight deformation) approximated by ones that are piecewise of the simplest kind. It applies… …
4Complexe simplicial — Pour les articles homonymes, voir Complexe. Représentation d un complexe simplicial. En mathématiques, un complexe simplicial est un objet géométri …
5Barycentric subdivision — In geometry, the barycentric subdivision is a standard way of dividing an arbitrary convex polygon into triangles, a convex polyhedron into tetrahedra, or, in general, a convex polytope into simplices with the same dimension, by connecting the… …
6Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …
7TOPOLOGIE - 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… …
8Nerve (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 …
9Clique complex — “Whitney complex” redirects here. For the Mississippi sports facility, see Davey Whitney Complex. Clique complexes, flag complexes, and conformal hypergraphs are closely related mathematical objects in graph theory and geometric topology that… …
10Combinatorial map — A combinatorial map is a combinatorial object modelling topological structures with subdivided objects. Historically, the concept was introduced informally by J. Edmonds for polyhedral surfaces [1] which are planar graphs. It was given its first… …
