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.
Read more about Abstract Simplicial Complex: Definitions, Geometric Realization, Examples, Enumeration
Famous quotes containing the words abstract and/or complex:
“The more abstract the truth you wish to teach, the more you need to seduce the senses to it.”
—Friedrich Nietzsche (1844–1900)
“It would be naive to think that peace and justice can be achieved easily. No set of rules or study of history will automatically resolve the problems.... However, with faith and perseverance,... complex problems in the past have been resolved in our search for justice and peace. They can be resolved in the future, provided, of course, that we can think of five new ways to measure the height of a tall building by using a barometer.”
—Jimmy Carter (James Earl Carter, Jr.)