Implication Details
Claim: If a category has binary coproducts and has coequalizers, then it has pushouts.
Proof: This follows from the dual implication.
This implication has a dual.
Show 39 categories using this implication
- category of abelian groups
- category of finitely generated abelian groups
- category of Banach spaces with linear contractions
- category of commutative monoids
- category of compact Hausdorff spaces
- simplex category
- category of filtered vector spaces
- category of finite abelian groups
- category of finite sets
- category of finite-dimensional vector spaces
- category of finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [finite field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated free abelian groups
- category of countable groups
- category of Jónsson-Tarski algebras
- category of M-sets
- category of partially ordered sets
- category of preordered sets
- 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 semigroups
- category of sets
- category of pointed sets
- category of countable sets
- category of large families of sets which are mostly empty
- category of non-empty sets
- category of sheaves
- category of abelian sheaves
- category of combinatorial species
- category of pointed topological spaces
- category of uniform spaces
- category of vector spaces
- category of countable-dimensional vector spaces
- category of finite Z-sets
- category of Z-sets
- preordered set of integers w.r.t. divisibility
- walking coreflexive pair