category-theory-presentation/categories/20_What/150_Smaller_Examples.html
2013-02-28 16:49:12 +01:00

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<h2>Smaller Examples</h2>
<h3>Strings</h3>
<img class="right" style="max-width:17%" src="categories/img/mp/strings.png" alt="Monoids are one object categories"/>
<ul>
<li> \(\ob{Str}\) is a singleton </li>
<li> \(\hom{Str}\) each string </li>
<li> ∘ is concatenation <code>(++)</code> </li>
</ul>
<ul>
<li> <code>"" ++ u = u = u ++ ""</code> </li>
<li> <code>(u ++ v) ++ w = u ++ (v ++ w)</code> </li>
</ul>