Implication Details
Claim: Given a functor whose domain is epi-regular, if it preserves regular epimorphisms, then it preserves epimorphisms.
Proof: This follows from the dual implication.
This implication has a dual.
Show 12 functors using this implication
- binary product functor on sets
- forgetful functor from abelian groups to groups
- forgetful functor from finite groups to groups
- forgetful functor for groups
- forgetful functor from groups to pointed sets
- forgetful functor for vector spaces
- indiscrete topology functor
- p-torsion functor
- contravariant power set functor
- simple-group probing functor
- squaring functor on sets
- torsion functor