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<title>GAP (GeneralizedMorphismsForCAP) - Chapter 5: Conversion functors for generalized morphisms</title>
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<p><a id="X83C47FBC7D238AD6" name="X83C47FBC7D238AD6"></a></p>
<div class="ChapSects"><a href="chap5.html#X83C47FBC7D238AD6">5 <span class="Heading">Conversion functors for generalized morphisms</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X7FBE737787FB4785">5.1 <span class="Heading">Functors from Cospans</span></a>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5.html#X79C6FF647D725997">5.1-1 FunctorFromCospansToThreeArrows</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5.html#X8092A53484B9D89E">5.1-2 FunctorFromCospansToSpans</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X828C320C7CE9AAEF">5.2 <span class="Heading">Functors from Spans</span></a>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5.html#X7A250CED7862BD61">5.2-1 FunctorFromSpansToThreeArrows</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5.html#X80EAF5547D5E3A08">5.2-2 FunctorFromSpansToCospans</a></span>
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<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap5.html#X79688A9387244A81">5.3 <span class="Heading">Functors from Three Arrows</span></a>
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<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5.html#X805E300E7CBA3F18">5.3-1 FunctorFromThreeArrowsToCospans</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap5.html#X7E0E745085802E80">5.3-2 FunctorFromThreeArrowsToSpans</a></span>
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<h3>5 <span class="Heading">Conversion functors for generalized morphisms</span></h3>

<p><a id="X7FBE737787FB4785" name="X7FBE737787FB4785"></a></p>

<h4>5.1 <span class="Heading">Functors from Cospans</span></h4>

<p><a id="X79C6FF647D725997" name="X79C6FF647D725997"></a></p>

<h5>5.1-1 FunctorFromCospansToThreeArrows</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; FunctorFromCospansToThreeArrows</code>( <var class="Arg">C</var> )</td><td class="tdright">( attribute )</td></tr></table></div>
<p>Returns: a functor</p>

<p>For the given category <var class="Arg">C</var>, this attribute is the functor from the cospan generalized morphism category of <var class="Arg">C</var> to the generalized morphism category modeled by three arrows.</p>

<p><a id="X8092A53484B9D89E" name="X8092A53484B9D89E"></a></p>

<h5>5.1-2 FunctorFromCospansToSpans</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; FunctorFromCospansToSpans</code>( <var class="Arg">C</var> )</td><td class="tdright">( attribute )</td></tr></table></div>
<p>Returns: a functor</p>

<p>For the given category <var class="Arg">C</var>, this attribute is the functor from the cospan generalized morphism category of <var class="Arg">C</var> to the generalized morphism category modeled by spans.</p>

<p><a id="X828C320C7CE9AAEF" name="X828C320C7CE9AAEF"></a></p>

<h4>5.2 <span class="Heading">Functors from Spans</span></h4>

<p><a id="X7A250CED7862BD61" name="X7A250CED7862BD61"></a></p>

<h5>5.2-1 FunctorFromSpansToThreeArrows</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; FunctorFromSpansToThreeArrows</code>( <var class="Arg">C</var> )</td><td class="tdright">( attribute )</td></tr></table></div>
<p>Returns: a functor</p>

<p>For the given category <var class="Arg">C</var>, this attribute is the functor from the span generalized morphism category of <var class="Arg">C</var> to the generalized morphism category modeled by three arrows.</p>

<p><a id="X80EAF5547D5E3A08" name="X80EAF5547D5E3A08"></a></p>

<h5>5.2-2 FunctorFromSpansToCospans</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; FunctorFromSpansToCospans</code>( <var class="Arg">C</var> )</td><td class="tdright">( attribute )</td></tr></table></div>
<p>Returns: a functor</p>

<p>For the given category <var class="Arg">C</var>, this attribute is the functor from the span generalized morphism category of <var class="Arg">C</var> to the generalized morphism category modeled by cospans.</p>

<p><a id="X79688A9387244A81" name="X79688A9387244A81"></a></p>

<h4>5.3 <span class="Heading">Functors from Three Arrows</span></h4>

<p><a id="X805E300E7CBA3F18" name="X805E300E7CBA3F18"></a></p>

<h5>5.3-1 FunctorFromThreeArrowsToCospans</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; FunctorFromThreeArrowsToCospans</code>( <var class="Arg">C</var> )</td><td class="tdright">( attribute )</td></tr></table></div>
<p>Returns: a functor</p>

<p>For the given category <var class="Arg">C</var>, this attribute is the functor from the three arrow generalized morphism category of <var class="Arg">C</var> to the generalized morphism category modeled by cospans.</p>

<p><a id="X7E0E745085802E80" name="X7E0E745085802E80"></a></p>

<h5>5.3-2 FunctorFromThreeArrowsToSpans</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; FunctorFromThreeArrowsToSpans</code>( <var class="Arg">C</var> )</td><td class="tdright">( attribute )</td></tr></table></div>
<p>Returns: a functor</p>

<p>For the given category <var class="Arg">C</var>, this attribute is the functor from the three arrow generalized morphism category of <var class="Arg">C</var> to the generalized morphism category modeled by spans.</p>


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