Implication Details
Claim: If a category has countable products and has equalizers, then it is ℵ₁-cofiltered.
Proof: This follows from the dual implication.
Show 20 categories using this implication
- trivial category
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- category of filtered vector spaces
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with continuous maps
- category of sets with a distinguished subset
- partially ordered set of extended natural numbers
- category of sequences of abelian groups
- category of set-indexed families of abelian groups
- category of topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of long transfinite sequences of abelian groups
- category of Z-functors
- category of graded abelian groups
- category of graded modules over a graded ring
- walking isomorphism