Types of Category

Thin category

A thin category is locally small category where there is at most one morphism in every hom-set. #m/def/cat That is,

(𝑋,𝑌Ob𝖢)[|𝖢(𝑋,𝑌)|1]

These constitute preorders-as-categories. The additional condition of being a Skeletal category, makes a Posetal category.


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