Implication Details
Claim: If a category has coequalizers, then it has reflexive coequalizers.
Proof: This follows from the dual implication.
Show 48 categories using this implication
- category of finitely generated abelian groups
- category of Banach spaces with linear contractions
- category of small categories
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- simplex category
- category of filtered vector spaces
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- 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 groups
- category of countable groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with ∞ allowed
- category of sets with a distinguished subset
- category of pseudo-metric spaces with non-expansive maps
- category of partially ordered sets
- category of preordered sets
- category of sequences of abelian groups
- category of pointed sets
- category of countable sets
- category of set-indexed families of abelian groups
- category of sheaves
- category of abelian 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 countable-dimensional vector spaces
- category of large vector spaces over a large field with a small basis
- category of Z-functors
- cocompletion of a discrete–pair join
- category of graded abelian groups
- category of graded modules over a graded ring
- real interval [0,1]
- walking coreflexive pair