<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- -->
<!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html -->
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" >
<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head><title>SimplicialComplex</title>
<link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/>
</head>
<body>
<table class="buttons">
<tr>
<td><div><a href="_simplicial__Complex.html">next</a> | <a href="_simplicial__Chain__Complex.html">previous</a> | <a href="_simplicial__Complex.html">forward</a> | <a href="_simplicial__Chain__Complex.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div>
</td>
</tr>
</table>
<hr/>
<div><h1>SimplicialComplex</h1>
<div class="single"><h2>Description</h2>
<div><tt>SimplicialComplex</tt> -- the class of simplical complexes<p/>
Some support routines<ul><li><a href="../../Macaulay2Doc/html/_support.html" title="list of variables occurring in a polynomial or matrix">support</a>(m) -- the support of the monomial m, as a list of integers</li>
</ul>
</div>
</div>
<div class="waystouse"><h2>Functions and methods returning a simplicial complex :</h2>
<ul><li><span><a href="_simplicial__Complex.html" title="create a simplicial complex">simplicialComplex</a> -- create a simplicial complex</span></li>
<li><span>simplicialComplex(List), see <span><a href="_simplicial__Complex.html" title="create a simplicial complex">simplicialComplex</a> -- create a simplicial complex</span></span></li>
</ul>
<h2>Methods that use a simplicial complex :</h2>
<ul><li><span><a href="_boundary_lp__Simplicial__Complex_rp.html" title="the boundary simplicial complex of D">boundary(SimplicialComplex)</a> -- the boundary simplicial complex of D</span></li>
<li><span><a href="_boundary_lp__Z__Z_cm__Simplicial__Complex_rp.html" title="the boundary map from i-faces to (i-1)-faces">boundary(ZZ,SimplicialComplex)</a> -- the boundary map from i-faces to (i-1)-faces</span></li>
<li><span><tt>chainComplex(SimplicialComplex)</tt> (missing documentation<!-- tag: (chainComplex,SimplicialComplex) -->)</span></li>
<li><span><a href="_coefficient__Ring_lp__Simplicial__Complex_rp.html" title="get the coefficient ring">coefficientRing(SimplicialComplex)</a> -- get the coefficient ring</span></li>
<li><span><a href="_dim_lp__Simplicial__Complex_rp.html" title="dimension of a simplicial complex">dim(SimplicialComplex)</a> -- dimension of a simplicial complex</span></li>
<li><span><a href="_dual_lp__Simplicial__Complex_rp.html" title="the Alexander dual of a simplicial complex">dual(SimplicialComplex)</a> -- the Alexander dual of a simplicial complex</span></li>
<li><span>faces(ZZ,SimplicialComplex), see <span><a href="_faces.html" title="the i-faces of a simplicial complex ">faces</a> -- the i-faces of a simplicial complex </span></span></li>
<li><span>facets(SimplicialComplex), see <span><a href="_facets.html" title="the facets of a simplicial complex">facets</a> -- the facets of a simplicial complex</span></span></li>
<li><span>fVector(SimplicialComplex), see <span><a href="_f__Vector.html" title="the f-vector of a simplicial complex">fVector</a> -- the f-vector of a simplicial complex</span></span></li>
<li><span><tt>HH SimplicialComplex</tt> (missing documentation<!-- tag: (homology,SimplicialComplex) -->)</span></li>
<li><span><tt>HH_ZZ SimplicialComplex</tt> (missing documentation<!-- tag: (homology,ZZ,SimplicialComplex) -->)</span></li>
<li><span><tt>HH_ZZ(SimplicialComplex,Ring)</tt> (missing documentation<!-- tag: (homology,ZZ,SimplicialComplex,Ring) -->)</span></li>
<li><span><tt>homology(Nothing,SimplicialComplex)</tt> (missing documentation<!-- tag: (homology,Nothing,SimplicialComplex) -->)</span></li>
<li><span><tt>homology(Nothing,SimplicialComplex,Ring)</tt> (missing documentation<!-- tag: (homology,Nothing,SimplicialComplex,Ring) -->)</span></li>
<li><span><tt>homology(SimplicialComplex,Ring)</tt> (missing documentation<!-- tag: (homology,SimplicialComplex,Ring) -->)</span></li>
<li><span><a href="_ideal_lp__Simplicial__Complex_rp.html" title="the ideal of minimal nonfaces (the Stanley-Reisner ideal)">ideal(SimplicialComplex)</a> -- the ideal of minimal nonfaces (the Stanley-Reisner ideal)</span></li>
<li><span>isPure(SimplicialComplex), see <span><a href="_is__Pure.html" title="whether the facets are equidimensional">isPure</a> -- whether the facets are equidimensional</span></span></li>
<li><span>label(SimplicialComplex,List), see <span><a href="_label.html" title="labels with monomials the faces of simplicial complex">label</a> -- labels with monomials the faces of simplicial complex</span></span></li>
<li><span>link(SimplicialComplex,RingElement), see <span><a href="_link.html" title="link of a face in a simplicial complex">link</a> -- link of a face in a simplicial complex</span></span></li>
<li><span><a href="_monomial__Ideal_lp__Simplicial__Complex_rp.html" title="the monomial ideal of minimal nonfaces (the Stanley-Reisner ideal)">monomialIdeal(SimplicialComplex)</a> -- the monomial ideal of minimal nonfaces (the Stanley-Reisner ideal)</span></li>
<li><span><tt>net(SimplicialComplex)</tt> (missing documentation<!-- tag: (net,SimplicialComplex) -->)</span></li>
<li><span><a href="_ring_lp__Simplicial__Complex_rp.html" title="get the associated ring of an object">ring(SimplicialComplex)</a> -- get the associated ring of an object</span></li>
<li><span><tt>simplicialChainComplex(List,SimplicialComplex)</tt> (missing documentation<!-- tag: (simplicialChainComplex,List,SimplicialComplex) -->)</span></li>
<li><span><tt>SimplicialComplex == SimplicialComplex</tt> (missing documentation<!-- tag: (==,SimplicialComplex,SimplicialComplex) -->)</span></li>
</ul>
</div>
<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Simplicial__Complex.html" title="">SimplicialComplex</a> is <span>a <a href="../../Macaulay2Doc/html/___Type.html">type</a></span>, with ancestor classes <a href="../../Macaulay2Doc/html/___Hash__Table.html" title="the class of all hash tables">HashTable</a> < <a href="../../Macaulay2Doc/html/___Thing.html" title="the class of all things">Thing</a>.</p>
</div>
</div>
</body>
</html>
