category-theory-presentation/categories/20_What/100_Can_this_be_a_category.html

<h2>Can this be a category?</h2>
<p>\(\ob{\C},\hom{\C}\) fixed, is there a valid ∘?</p>
<figure class="left">
    <img src="categories/img/mp/cat-example1.png" alt="Category example 1"/>
    <figcaption class="slide">
        <span class="green">YES</span>
    </figcaption>
</figure>
<figure class="left">
    <img src="categories/img/mp/cat-example2.png" alt="Category example 2"/>
    <figcaption class="slide">
        no candidate for \(g∘f\)
        <br/><span class="red">NO</span>
    </figcaption>
</figure>
<figure class="left">
    <img src="categories/img/mp/cat-example3.png" alt="Category example 3"/>
    <figcaption class="slide">
    <span class="green">YES</span>
    </figcaption>
</figure>