FACTOID # 148: The top ten tourist destinations France, Spain, USA, Italy, China, UK, Austria, Mexico, Germany and Canada account for 49.6 percent of all tourist arrivals worldwide.
 
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Encyclopedia > Abstract simplicial complex

In mathematics, given a universal set S, and K, a family of sets over S, K is an abstract simplicial complex if the following is true:

for each , if then for each subset it follows that .

The elements of K are called abstract simplices.

See also: simplicial complex




  Results from FactBites:
 
Simplicial complex - Wikipedia, the free encyclopedia (580 words)
In mathematics, a simplicial complex is a topological space of a particular kind, built up of points, line segments, triangles, and their n-dimensional counterparts.
Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory.
The general finite simplicial complex is a set of instructions for joining a number of simplices of varying dimensions together, as a topological space in the abstract (not assumed to be a subset of Euclidean space).
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