Unlike for algebraic objects, the inverse limit might not exist in an arbitrary category.

The direct product can be abstracted to an arbitrary category.

The direct limit can be defined in an arbitrary category by means of a universal property.

Unlike for algebraic objects, the direct limit may not exist in an arbitrary category.

This shows that a stack is a sort of generalization of a sheaf, taking values in arbitrary categories rather than sets.

An external body could measure us, and rate us deficient with regard to an arbitrary category of minority.

Blurred lines between package functions make delimitation difficult, and in many ways larger software companies define these somewhat arbitrary categories.

The schizophrenic tends to think in arbitrary or highly personalized categories.

Equivariant maps can be generalized to arbitrary categories in a straightforward manner.

They were merely arbitrary categories, little more than names.