Implication Details
Assumptions: binary products, equalizers
Conclusions: pullbacks
Reason: The pullback of and is the equalizer of .
Show 35 categories using this implication
- category of abelian groups
- category of finitely generated abelian groups
- category of algebras
- category of Banach spaces with linear contractions
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of small categories
- category of compact Hausdorff spaces
- category of finite abelian groups
- category of finite groups
- category of free abelian groups
- category of groups
- category of countable groups
- category of Hausdorff spaces
- category of smooth manifolds
- category of metric spaces with non-expansive maps
- category of metric spaces with continuous maps
- category of metric spaces with ∞ allowed
- category of monoids
- category of pseudo-metric spaces with non-expansive maps
- category of posets
- category of prosets
- category of left modules over a ring
- category of left modules over a division ring
- category of rings
- category of rngs
- category of semigroups
- category of countable sets
- category of pointed sets
- category of abelian sheaves
- category of vector spaces
- proset of integers w.r.t. divisibility
- walking composable pair
- walking morphism