| 单词 | simplicial complex |
| 释义 | > as lemmassimplicial complex simplicial complex n. a set of points, lines, triangles, tetrahedrons, and higher-dimensional simplices that satisfies certain criteria.In a simplicial complex, each simplex which is a vertex, edge, or face, etc., of a simplex included in the complex must also be an element of the complex in its own right. Also, the intersection of two simplices must itself be a simplex, such as a vertex or edge, that is shared by both. ΚΠ 1930 Ann. Math. 31 276 We can then take for Hr a simplicial complex. 1963 Canad. Jrnl. Math. 15 592 A triangulated 3-sphere is a finite, simplicial complex whose geometric realization is homeomorphic to a 3-sphere. 2014 H. Edelsbrunner Short Course Computational Geom. & Topol. x. 73 It is often convenient to talk about a simplicial complex abstractly, without reference to its realization in Euclidean space. < as lemmas |
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