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<title>GAP (GeneralizedMorphismsForCAP) - Chapter 8: Serre Quotients Functors</title>
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<div class="ChapSects"><a href="chap8.html#X79D7DBA7827EFB86">8 <span class="Heading">Serre Quotients Functors</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap8.html#X78D1062D78BE08C1">8.1 <span class="Heading">Functors</span></a>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap8.html#X873A67F482BA7BFD">8.1-1 SerreQuotientConversionFunctor</a></span>
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<h3>8 <span class="Heading">Serre Quotients Functors</span></h3>

<p>The operations in this chapter construct conversion functors between two Serre quotients of different standards. Please note that all the operations DO NOT CARE if the Serre quotients are modeling the same category, they only care wether the categories are based upon the same underlying honest category.</p>

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<h4>8.1 <span class="Heading">Functors</span></h4>

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<h5>8.1-1 SerreQuotientConversionFunctor</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">‣ SerreQuotientConversionFunctor</code>( <var class="Arg">A</var>, <var class="Arg">B</var> )</td><td class="tdright">( operation )</td></tr></table></div>
<p>Returns: a functor</p>

<p>Given two Serre quotients <var class="Arg">A</var> and <var class="Arg">B</var> of the same category <var class="Arg">C</var> by equivalent functions, this operation returns the conversion functor between the two categories. Please note that this function does not check the quotients in any sense, i.e., wether the functions are equivalent.</p>


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