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<title>GAP (HAP) - Chapter 20: Some functions for accessing basic data</title>
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<div class="ChapSects"><a href="chap20.html#X7AE3B902812A10B0">20. <span class="Heading"> Some functions for accessing basic data</span></a>
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<h3>20. <span class="Heading"> Some functions for accessing basic data</span></h3>
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<td class="tdleft"><code class="code"> BoundaryMap(C) </code></p>
<p>Inputs a resolution, chain complex or cochain complex C and returns the function C!.boundary.</td>
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<td class="tdleft"><code class="code"> BoundaryMatrix(C,n) </code></p>
<p>Inputs a chain or cochain complex C and integer n>0. It returns the n-th boundary map of C as a matrix.</td>
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<td class="tdleft"><code class="code"> Dimension(C) </code> <br /> <code class="code"> Dimension(M) </code></p>
<p>Inputs a resolution, chain complex or cochain complex C and returns the function C!.dimension .</p>
<p>Alternatively, inputs an FpG-module M and returns its dimension as a vector space over the field of p elements.</td>
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<td class="tdleft"><code class="code"> EvaluateProperty(X,"name") </code></p>
<p>Inputs a component object X (such as a ZG-resolution or chain map) and a string "name" (such as "characteristic" or "type"). It searches X.property for the pair ["name",value] and returns value. If X.property does not exist, or if ["name",value] does not exist, it returns fail.</td>
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<td class="tdleft"><code class="code"> GroupOfResolution(R) </code></p>
<p>Inputs a ZG-resolution R and returns the group G.</td>
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<td class="tdleft"><code class="code"> Length(R) </code></p>
<p>Inputs a resolution R and returns its length (i.e. the number of terms of R that HAP has computed).</td>
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<td class="tdleft"><code class="code"> Map(f) </code></p>
<p>Inputs a chain map, or cochain map or equivariant chain map f and returns the mapping function (as opposed to the target or the source of f) .</td>
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<td class="tdleft"><code class="code"> Source(f) </code></p>
<p>Inputs a chain map, or cochain map, or equivariant chain map, or FpG-module homomorphism f and returns it source.</td>
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<td class="tdleft"><code class="code"> Target(f) </code></p>
<p>Inputs a chain map, or cochain map, or equivariant chain map, or FpG-module homomorphism f and returns its target.</td>
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