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 14 categories using this implication
- 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
- category of topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of Z-functors
- partially ordered set of extended natural numbers
- trivial category
- walking isomorphism