Implication Details
Claim: Given a functor whose domain has pullbacks, if it preserves reflexive coequalizers, then it preserves regular epimorphisms.
Proof: This follows from the dual implication.
Show 17 functors using this implication
- binary product functor on sets
- functor of continuous functions
- forgetful functor from rings to monoids
- forgetful functor for groups
- forgetful functor from groups to pointed sets
- forgetful functor for rings
- forgetful functor for vector spaces
- group of units functor
- nerve functor
- p-torsion functor
- fundamental group functor
- contravariant power set functor
- rational product functor
- ring idempotents functor
- simple-group probing functor
- squaring functor on sets
- torsion functor