Implication Details
Claim: Given a functor whose codomain is pointed, and whose domain is pointed, if it preserves preserves terminal objects, then it preserves preserves initial objects.
Proof: This is trivial.
Show 10 functors using this implication
- abelianization functor for groups
- enveloping group functor
- forgetful functor from abelian groups to groups
- forgetful functor from groups to pointed sets
- forgetful functor from torsion abelian groups to abelian groups
- forgetful functor from torsion-free abelian groups to abelian groups
- fundamental group functor
- modulo p functor
- p-torsion functor
- torsion functor