category-theory-presentation/categories/20_What/190_Degenerated_Categories_Preorders_P.html
2013-02-28 16:49:12 +01:00

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<h2>Degenerated Categories: Preorders \((P,≤)\)</h2>
<ul><li>\(\ob{P}={P}\),
</li><li>\(\hom{x,y}=\{x≤y\} ⇔ x≤y\),
</li><li>\((y≤z) \circ (x≤y) = (x≤z) \)
</li></ul>
<p><em class="yellow">At most one morphism between two objects.</em></p>
<img src="categories/img/mp/preorder.png" alt="preorder category"/>