Implication Details
Claim: If a category is pointed and has a strict terminal object, then it is trivial.
Proof: This follows from the dual implication.
Show 15 categories using this implication
- category of abelian groups
- category of cochain complexes of abelian groups
- category of filtered vector spaces
- category of finite groups
- category of left modules over a ring
- category of left modules over a division ring
- category of left modules over a non-semisimple ring
- category of sequences of abelian groups
- category of abelian sheaves
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- category of graded abelian groups
- category of graded modules over a graded ring
- walking splitting