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<head><title>chainComplexMap -- Defines a ChainComplexMap via a list of matrices.</title>
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<div><h1>chainComplexMap -- Defines a ChainComplexMap via a list of matrices.</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>chainComplexMap(D,C,mapList)</tt></div>
</dd></dl>
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</li>
<li><div class="single">Inputs:<ul><li><span><tt>D</tt>, <span>a <a href="../../Macaulay2Doc/html/___Chain__Complex.html">chain complex</a></span>, target of ChainComplexMap</span></li>
<li><span><tt>C</tt>, <span>a <a href="../../Macaulay2Doc/html/___Chain__Complex.html">chain complex</a></span>, source of ChainComplexMap</span></li>
<li><span><tt>mapList</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, list of maps defining the new ChainComplexMap</span></li>
</ul>
</div>
</li>
<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___Chain__Complex__Map.html">chain complex map</a></span>, The desired ChainComplexMap.</span></li>
</ul>
</div>
</li>
<li><div class="single"><a href="../../Macaulay2Doc/html/_using_spfunctions_spwith_spoptional_spinputs.html">Optional inputs</a>:<ul><li><span><a href="_chain__Complex__Map_lp..._cm_sp__Initial__Degree_sp_eq_gt_sp..._rp.html">InitialDegree => ...</a>, -- Specify initial degree.</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : R = ZZ/101[a,b,c]
o1 = R
o1 : PolynomialRing</pre>
</td></tr>
<tr><td><pre>i2 : kRes = res coker vars R
1 3 3 1
o2 = R <-- R <-- R <-- R <-- 0
0 1 2 3 4
o2 : ChainComplex</pre>
</td></tr>
<tr><td><pre>i3 : multBya = extend(kRes,kRes,matrix{{a}})
1 1
o3 = 0 : R <--------- R : 0
| a |
3 3
1 : R <----------------- R : 1
{1} | a b c |
{1} | 0 0 0 |
{1} | 0 0 0 |
3 3
2 : R <----- R : 2
0
1 1
3 : R <----- R : 3
0
4 : 0 <----- 0 : 4
0
o3 : ChainComplexMap</pre>
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<tr><td><pre>i4 : mapList = apply((min kRes..max kRes), i -> multBya_i)
o4 = (| a |, {1} | a b c |, 0, 0, 0)
{1} | 0 0 0 |
{1} | 0 0 0 |
o4 : Sequence</pre>
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<tr><td><pre>i5 : multBya2 = chainComplexMap(kRes,kRes,toList mapList)
1 1
o5 = 0 : R <--------- R : 0
| a |
3 3
1 : R <----------------- R : 1
{1} | a b c |
{1} | 0 0 0 |
{1} | 0 0 0 |
3 3
2 : R <----- R : 2
0
1 1
3 : R <----- R : 3
0
4 : 0 <----- 0 : 4
0
o5 : ChainComplexMap</pre>
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<tr><td><pre>i6 : multBya2 == multBya
o6 = true</pre>
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<div class="waystouse"><h2>Ways to use <tt>chainComplexMap</tt> :</h2>
<ul><li>chainComplexMap(ChainComplex,ChainComplex,List)</li>
</ul>
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