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has gloss | eng: In mathematics, the term simplicial manifold commonly refers to either of two different types of objects, which combine attributes of a simplex with those of a manifold. Briefly; a simplex is a generalization of the concept of a triangle into forms with more, or fewer, than two dimensions. Accordingly, a 3-simplex is the figure known as a tetrahedron. A manifold is simply a space which appears to be Euclidean (following the laws of ordinary geometry) (or more generally a flat Pseudo-Riemannian space) in a given local neighborhood, though it can be greatly more complicated overall. The combination of these concepts gives us two useful definitions. |
lexicalization | eng: Simplicial Manifold |
instance of | c/Simplicial sets |
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