In physics, the term simplicial manifold commonly refers to one of several loosely defined objects, commonly appearing in the study of Regge calculus...
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simplicial set appearing in modern simplicial homotopy theory. The purely combinatorial counterpart to a simplicial complex is an abstract simplicial...
11 KB (1,724 words) - 12:40, 5 June 2024
topology, the simplicial volume (also called Gromov norm) is a measure of the topological complexity of a manifold. More generally, the simplicial norm measures...
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manifold. It usually means a piecewise linear manifold made by simplicial complexes. A digital manifold is a special kind of combinatorial manifold which...
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every smooth manifold (Cairns and Whitehead).: sec.5.3.2 Simplicial homology is defined by a simple recipe for any abstract simplicial complex. It is...
17 KB (2,171 words) - 08:50, 19 June 2024
means a piecewise linear manifold made by simplicial complexes. A digital manifold is a special kind of combinatorial manifold which is defined in digital...
68 KB (9,509 words) - 05:38, 16 July 2024
represents. The homeomorphism problem is: given two finite simplicial complexes representing smooth manifolds, decide if they are homeomorphic. If the complexes...
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form is the E8 lattice, this gives a manifold called the E8 manifold, a manifold not homeomorphic to any simplicial complex. If the form is Z {\displaystyle...
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quantum gravity Planck scale Quantum gravity Regge calculus Simplex Simplicial manifold Spin foam Wayback Machine see Sec 6.8 Dynamics: III. Group field...
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simplicial manifold composed by regular (d − 1)-dimensional simplices and the connection between these slices is made by a piecewise linear manifold of...
10 KB (1,212 words) - 17:58, 21 February 2024