category-theory-presentation/categories/20_What/160_Finite_Example.html
2013-02-28 16:49:12 +01:00

16 lines
433 B
HTML
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

<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>