Difference between revisions of "Nerve of a family of sets"
From Encyclopedia of Mathematics
(Importing text file) |
|||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | '' | + | {{TEX|done}} |
| + | ''$\alpha$'' | ||
| − | The [[Simplicial complex|simplicial complex]] | + | The [[Simplicial complex|simplicial complex]] $K(\alpha)$ with as simplices the finite non-empty subsets of $\alpha$ with non-empty intersection. In particular, the vertices of $K(\alpha)$ are the non-empty elements of $\alpha$. |
Latest revision as of 12:24, 12 April 2014
$\alpha$
The simplicial complex $K(\alpha)$ with as simplices the finite non-empty subsets of $\alpha$ with non-empty intersection. In particular, the vertices of $K(\alpha)$ are the non-empty elements of $\alpha$.
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
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