Implication Details
Claim: If a category has cofiltered limits and is right cancellative, then it has cofiltered-limit-stable epimorphisms.
Proof: This follows from the dual implication.
This implication has a dual.
Show 33 categories using this implication
- category of abelian groups
- category of finite sets and bijections
- delooping of a group
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of an infinite uncountable group
- delooping of the additive monoid of ordinal numbers
- category of sets with a binary relation
- category of commutative algebras
- category of commutative rings
- category of cochain complexes of abelian groups
- category of filtered vector spaces
- category of fields
- category of groups
- category of sets with a distinguished subset
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- partially ordered collection of ordinal numbers
- 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 sequences of abelian groups
- category of pointed sets
- discrete category of sets
- category of large families of sets which are mostly empty
- category of large families of sets which are mostly singletons
- category of torsion-free abelian groups
- category of vector spaces
- category of Z-functors
- preordered set of integers w.r.t. divisibility
- category of graded abelian groups
- category of graded modules over a graded ring
- real interval [0,1]