A note on cathegory composition


The special properties of an abstract category morphism (for instance, being an identity, an isomorphism, an epi- morphism., a monomorphism . . . ) fully depend on the category composition. Consequently, an isomorphic category to a concrete category may be not concrete, i.e., the concreteness is not a cat- egory invariant. Further, every small category is isomorphic to a small category whose objects are sets and whose morphisms are functions between those sets.

category (abstract, concrete, small, quotient), morphism, category composition, functor, set function, cardinal, transfinite induction
Nikica Uglešić
A note on cathegory composition 482.3KB