category-theory-presentation/categories/20_What/110_Can_this_be_a_category.html
2013-02-28 16:49:12 +01:00

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<h2>Can this be a category?</h2>
<figure class="left">
<img src="categories/img/mp/cat-example4.png" alt="Category example 4"/>
<figcaption class="slide">
no candidate for \(f:C→B\)
<br/><span class="red">NO</span>
</figcaption>
</figure>
<figure class="right" style="min-width: 59%">
<img src="categories/img/mp/cat-example5.png" alt="Category example 5"/>
<figcaption class="slide">
\((h∘g)∘f=\id_B∘f=f\)<br/>
\(h∘(g∘f)=h∘\id_A=h\)<br/>
but \(h≠f\)<br/>
<span class="red">NO</span>
</figcaption>
</figure>