Implication details
Claim: If a category has equalizers and is semi-strongly connected, then it is cofiltered.
Proof: This follows from the dual implication.
This implication has a dual.
Show 12 categories using this implication
- category of compact Hausdorff spaces
- category of finite sets and injections
- category of finite ordered sets
- category of Hausdorff spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with continuous maps
- partially ordered set of natural numbers
- partially ordered collection of ordinal numbers
- category of pseudo-metric spaces with non-expansive maps
- category of sets with finite-to-one maps
- category of ω-sets
- walking fork