9 lines
466 B
HTML
9 lines
466 B
HTML
<h2 id="category-of-functors">Category of Functors</h2>
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<p>If \(\C\) is <em>small</em> (\(\hom{\C}\) is a set). All functors from \(\C\) to some category \(\D\) form the category \(\mathrm{Func}(\C,\D)\).</p>
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<ul>
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<li>\(\ob{\mathrm{Func}(\C,\D)}\): Functors \(F:\C→\D\)</li>
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<li>\(\hom{\mathrm{Func}(\C,\D)}\): <em>natural transformations</em></li>
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<li>∘: Functor composition</li>
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</ul>
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<p>\(\mathrm{Func}(\C,\C)\) is the category of endofunctors of \(\C\).</p>
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