Implication Details
Claim: If a category is additive and has a regular quotient object classifier, then it is trivial.
Proof: This follows from the dual implication.
Show 14 categories using this implication
- category of abelian groups
- category of abelian sheaves
- category of filtered vector spaces
- category of finite abelian groups
- category of finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated abelian groups
- category of free abelian groups
- category of left modules over a division ring
- category of left modules over a ring
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- partially ordered set of natural numbers