category-theory-presentation/categories/20_What/160_Finite_Example.html

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<h2>Finite Example?</h2>
<h3>Graph</h3>
<figure class="right" style="max-width:40%" >
<img src="categories/img/mp/graph-category.png" alt="Each graph is a category"/>
</figure>
<ul>
<li> \(\ob{G}\) are vertices</li>
<li> \(\hom{G}\) each path</li>
<li> ∘ is path concatenation</li>
</ul>
<ul><li>\(\ob{G}=\{X,Y,Z\}\),
</li><li>\(\hom{G}=\{ε,α,β,γ,αβ,βγ,...\}\)
</li><li>\(αβ∘γ=αβγ\)
</li></ul>