category-theory-presentation/categories/20_What/130_Category_Set.html
2013-02-28 16:49:12 +01:00

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<h2>Category \(\Set\)</h2>
<ul>
<li> \(\ob{\Set}\) are <em>all</em> the sets</li>
<li> \(\hom{E,F}\) are <em>all</em> functions from \(E\) to \(F\)</li>
<li> ∘ is functions composition </li>
</ul>
<ul class="slide">
<li>\(\ob{\Set}\) is a proper class ; not a set</li>
<li>\(\hom{E,F}\) is a set</li>
<li>\(\Set\) is then a <em>locally <b>small</b> category</em></li>
</ul>