# Nerve of a family of sets

From Encyclopedia of Mathematics

The simplicial complex with as simplices the finite non-empty subsets of with non-empty intersection. In particular, the vertices of are the non-empty elements of .

**How to Cite This Entry:**

Nerve of a family of sets.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Nerve_of_a_family_of_sets&oldid=16943

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article