Implication details
Claim: If a category is a dual generalized variety, then it has cofiltered-limit-stable epimorphisms.
Proof: This follows from the dual implication.
This implication has a dual.
Show 49 categories using this implication
- category of abelian groups
- category of algebras
- delooping of the additive monoid of ordinal numbers
- category of Banach spaces with linear contractions
- category of sets equipped with a binary relation
- category of sets equipped with an irreflexive 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 irreflexive binary relation
- category of sets equipped with a symmetric reflexive binary relation
- category of commutative algebras
- category of commutative rings
- category of cochain complexes of abelian groups
- category of F(I)-sets
- category of filtered vector spaces
- category of fields
- category of groups
- category of metric spaces with continuous maps
- category of monoids
- partially ordered set of extended natural numbers
- category of quivers
- category of quivers with finite components
- 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 rings
- category of rngs
- category of schemes
- category of semigroups
- category of sequences of abelian groups
- category of sequences of sets
- category of pointed sets
- category of set functions and commutative squares
- category of large families of sets which are mostly empty
- category of large families of sets which are mostly singletons
- category of pairs of sets
- category of sheaves
- category of abelian sheaves
- category of pointed topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of uniform spaces
- category of vector spaces
- category of graded abelian groups
- category of graded modules over a graded ring
- walking commutative square
- walking composable pair
- walking morphism
- walking splitting