Implication Details
Claim: If a category has cofiltered limits and is quotient-trivial, then it has cofiltered-limit-stable epimorphisms.
Proof: This follows from the dual implication.
This implication has a dual.
Show 51 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 monoids
- category of commutative rings
- category of small categories
- category of cochain complexes of abelian groups
- category of finite sets and injections
- category of filtered vector spaces
- category of fields
- category of fields of characteristic zero
- category of groups
- category of Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of locally ringed spaces
- category of M-sets
- category of measurable spaces
- category of metric spaces with ∞ allowed
- category of monoids
- category of sets with a distinguished subset
- 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 rings
- category of rngs
- category of semigroups
- category of sequences of abelian groups
- category of sets
- category of pointed sets
- category of large families of sets which are mostly empty
- category of large families of sets which are mostly singletons
- category of topological spaces
- category of pointed topological spaces
- category of torsion-free abelian groups
- category of uniform spaces
- category of vector spaces
- category of Z-functors
- category of Z-sets
- category of graded abelian groups
- category of graded modules over a graded ring
- category of simplicial sets