In mathematics, an abstract simplicial complex is a purely combinatorial description of the geometric notion of a simplicial complex, consisting of a family of finite sets closed under the operation of taking subsets. In the context of matroids and greedoids, abstract simplicial complexes are also called independence systems.
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Famous quotes containing the words abstract and/or complex:
““If our minds could get hold of one abstract truth, they would be immortal so far as that truth is concerned. My trouble is to find out how we can get hold of the truth at all.””
—Henry Brooks Adams (1838–1918)
“When distant and unfamiliar and complex things are communicated to great masses of people, the truth suffers a considerable and often a radical distortion. The complex is made over into the simple, the hypothetical into the dogmatic, and the relative into an absolute.”
—Walter Lippmann (1889–1974)