Things as categories
Many objects of study in mathematics may alternately be viewed as a special kind of category. Often this is related to oidification or Categorification.
Oidification
The following characterizes some structure as some single-object category, hence involves oidification.
Reframing
The following can be viewed as categories through a natural change in perspective.
Free categories
Some structures can be studied by constructing a related “free” category (see also Representation)
- Free category (from a quiver)