Types of Category

Thin category

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

(βˆ€π‘‹,π‘ŒβˆˆOb⁑𝖒)[|𝖒(𝑋,π‘Œ)|≀1]

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


tidy | SemBr | en