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<p>underlying space : for each point , there is exactly one simplex in  containing  in its relative interior. This simplex is called the <b>support</b> of x and denoted .</p>

<p><big> Closure, star, and link </big></p>
<p>Let K be a simplicial complex and let S be a collection of simplices in K.</p>

<p>The <b>closure</b> of S (denoted ) is the smallest simplicial subcomplex of K that contains each simplex in S.  is obtained by repeatedly adding to S each face of every simplex in S.</p>

<p>The <b><a href="page.php?w=Star_%28simplicial_complex%29">star</a></b> of</p><p>
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