Implication Details
Claim: If a category has equalizers of cokernel pairs, then it has cokernel pairs.
Proof: This follows from the dual implication.
Show 48 categories using this implication
- category of abelian groups
- category of finitely generated abelian groups
- delooping of the additive monoid of ordinal numbers
- category of Banach spaces with linear contractions
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- simplex category
- category of finite sets and injections
- category of filtered vector spaces
- category of finite abelian groups
- category of finite groups
- category of finite ordered 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 fields
- category of free abelian groups
- category of smooth manifolds
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of pseudo-metric spaces with non-expansive maps
- 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 sets and relations
- category of schemes
- category of sequences of abelian groups
- category of pointed sets
- category of countable sets
- category of non-empty sets
- category of abelian sheaves
- category of topological spaces
- category of pointed topological spaces
- category of torsion-free abelian groups
- category of vector spaces
- category of Z-functors
- forked commutative square
- category of graded abelian groups
- category of graded modules over a graded ring
- walking composable pair
- walking coreflexive pair
- walking fork
- walking idempotent
- walking morphism
- walking splitting