Implication details
Claim: If a category has biproducts and has cofiltered limits and has cofiltered-limit-stable epimorphisms and has coproducts, then it satisfies CSP.
Proof: This follows from the dual implication.
This implication has a dual.
Show 20 categories using this implication
- trivial category
- category of abelian groups
- category of large families of abelian groups
- category of commutative monoids
- category of cochain complexes of abelian groups
- category of filtered vector spaces
- 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
- indiscrete category of sets
- category of abelian sheaves
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of long transfinite sequences of abelian groups
- category of vector spaces
- category of large families of vector spaces which are mostly zero
- category of graded abelian groups
- category of graded modules over a graded ring
- walking isomorphism