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Simplicial Complex: Topological Space, Simplicial Set, Simplex, Abstract Simplicial Complex, Algebraic Topology, Barycentric Subdivision, Causal Dynamical Triangulation -

English
2026-03-21
€171.46 €244.94

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 confused with the more abstract notion of ... Full description

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Description

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory. In algebraic topology simplicial complexes are often useful for concrete calculations. For the definition of homology groups of a simplicial complex, one can read the corresponding chain complex directly, provided that consistent orientations are made of all simplices. The requirements of homotopy theory lead to the use of more general spaces, the CW complexes. Infinite complexes are a technical tool basic in algebraic topology. See also the discussion at polytope of simplicial complexes as subspaces of Euclidean space, made up of subsets each of which is a simplex.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786130314170
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€171.46 €244.94