Abstract simplicial complex

id: abstract-simplicial-complex-208-9218463
title: Abstract simplicial complex
text: In combinatorics, an abstract simplicial complex (ASC), often called an abstract complex or just a complex, is a family of sets that is closed under taking subsets, i.e., every subset of a set in the family is also in the family. It is a purely combinatorial description of the geometric notion of a simplicial complex. For example, in a 2-dimensional simplicial complex, the sets in the family are the triangles, their edges, and their vertices. In the context of matroids and greedoids, abstract si
brand slug: wiki
category slug: encyclopedia
description: Mathematical object
original url: https://en.wikipedia.org/wiki/Abstract_simplicial_complex
date created: 2004-06-13T17:03:08Z
date modified: 2024-09-11T16:54:46Z
main entity: {"identifier":"Q4669959","url":"https://www.wikidata.org/entity/Q4669959"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/50/Simplicial_complex_example.svg","width":532,"height":517}
fields total: 13
integrity: 16

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