Types of Category

Groupoid

A groupoid is the Oidification of a group. Thus a groupoid is a category in which all morphisms are isomorphisms. cat As such, it is a category augmented with an operation on morphisms inv (often written as ( βˆ’)βˆ’1) such that

π‘“βˆ˜inv⁑(𝑓)=id=inv⁑(𝑓)βˆ˜π‘“

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