Implication details
Claim: If a category has binary coproducts and is locally cocartesian coclosed, then it has pushout-stable regular monomorphisms.
Proof: This follows from the dual implication.
This implication has a dual.
Show 15 categories using this implication
- category of algebras
- category of small categories
- category of groups
- category of countable groups
- category of finitely generated groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of monoids
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- category of rings
- category of rngs
- category of semigroups
- real interval [0,1]