In physics, the term simplicial manifold commonly refers to one of several loosely defined objects, commonly appearing in the study of Regge calculus...

simplicial set appearing in modern simplicial homotopy theory. The purely combinatorial counterpart to a simplicial complex is an abstract simplicial...

topology, the simplicial volume (also called Gromov norm) is a measure of the topological complexity of a manifold. More generally, the simplicial norm measures...

manifold. It usually means a piecewise linear manifold made by simplicial complexes. A digital manifold is a special kind of combinatorial manifold which...

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...

means a piecewise linear manifold made by simplicial complexes. A digital manifold is a special kind of combinatorial manifold which is defined in digital...

represents. The homeomorphism problem is: given two finite simplicial complexes representing smooth manifolds, decide if they are homeomorphic. If the complexes...

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...

quantum gravity Planck scale Quantum gravity Regge calculus Simplex Simplicial manifold Spin foam Wayback Machine see Sec 6.8 Dynamics: III. Group field...

simplicial manifold composed by regular (d − 1)-dimensional simplices and the connection between these slices is made by a piecewise linear manifold of...