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<head><title>minimalNonFaces -- The minimal non-faces of a complex.</title>
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<div><h1>minimalNonFaces -- The minimal non-faces of a complex.</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>minimalNonFaces(C)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>C</tt>, <span>an <a href="___Complex.html">embedded complex</a></span></span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span></span></li>
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<li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_embedded.html">embedded => ...</a>, -- Use only faces of the embedding complex.</span></li>
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<div class="single"><h2>Description</h2>
<div><p>The minimal non-faces of a complex. All subsets of the variables of <a href="_simplex__Ring.html" title="The underlying polynomial ring of a deformation or face or complex.">simplexRing</a>(C) are tested as standard.</p>
<p>If the option embedded=>true is specified then only faces of <a href="_embedding__Complex.html" title="The embedding complex of a complex or co-complex.">embeddingComplex</a>(C) are tested.</p>
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<table class="examples"><tr><td><pre>i1 : R=QQ[x_0..x_4];</pre>
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<tr><td><pre>i2 : I=ideal(x_0*x_1,x_1*x_2,x_2*x_3,x_3*x_4,x_4*x_0);
o2 : Ideal of R</pre>
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<tr><td><pre>i3 : C=idealToComplex I
o3 = 1: x x x x x x x x x x
0 2 0 3 1 3 1 4 2 4
o3 : complex of dim 1 embedded in dim 4 (printing facets)
equidimensional, simplicial, F-vector {1, 5, 5, 0, 0, 0}, Euler = -1</pre>
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<tr><td><pre>i4 : minimalNonFaces C
o4 = {x x , x x , x x , x x , x x }
0 1 1 2 2 3 0 4 3 4
o4 : List</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_ideal__To__Complex.html" title="The complex associated to a reduced monomial ideal.">idealToComplex</a> -- The complex associated to a reduced monomial ideal.</span></li>
<li><span><a href="_complex__To__Ideal.html" title="The monomial ideal associated to a complex.">complexToIdeal</a> -- The monomial ideal associated to a complex.</span></li>
<li><span><a href="_embedding__Complex.html" title="The embedding complex of a complex or co-complex.">embeddingComplex</a> -- The embedding complex of a complex or co-complex.</span></li>
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<div class="waystouse"><h2>Ways to use <tt>minimalNonFaces</tt> :</h2>
<ul><li>minimalNonFaces(Complex)</li>
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