category-theory-presentation/categories/20_What/020_Category.html
2013-02-28 16:49:12 +01:00

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<h2>Category</h2>
<p>A way of representing <strong><em>things</em></strong> and <strong><em>ways to go between things</em></strong>.</p>
<p> A Category \(\mathcal{C}\) is defined by:</p>
<ul>
<li> <em>Objects <span class="yellow">\(\ob{C}\)</span></em>,</li>
<li> <em>Morphisms <span class="yellow">\(\hom{C}\)</span></em>,</li>
<li> a <em>Composition law <span class="yellow">(∘)</span></em></li>
<li> obeying some <em>Properties</em>.</li>
</ul>