Implication details
Claim: If a category has coequalizers, then it has reflexive coequalizers.
Proof: This follows from the dual implication.
This implication has a dual.
Show 48 categories using this implication
- category of large families of abelian groups
- category of sets equipped with a binary relation
- category of sets equipped with a reflexive binary relation
- category of sets equipped with a symmetric binary relation
- category of sets equipped with a symmetric reflexive binary relation
- category of small categories
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- simplex category
- category of F(I)-sets
- category of filtered vector spaces
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of finitely generated free abelian groups
- category of groups
- category of countable groups
- category of finitely generated groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of sets with a distinguished subset
- category of pseudo-metric spaces with non-expansive maps
- category of sequences of abelian groups
- category of pointed sets
- category of countable sets
- category of large families of sets
- category of large families of sets which are mostly empty
- category of empty-or-finite pairs of sets
- category of sheaves
- category of combinatorial species
- category of topological spaces
- category of pointed topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of long transfinite sequences of abelian groups
- category of uniform spaces
- category of large families of vector spaces which are mostly zero
- category of large vector spaces over a large field with a small basis
- category of Z-functors
- category of finite Z-sets
- cocompletion of a discrete–pair join
- category of graded abelian groups
- category of graded modules over a graded ring
- category of ω-sets
- real interval [0,1]
- walking coreflexive pair