Implication details
Claim: If a category has a cogenerating collection and is an elementary cotopos and is locally essentially small and has products, then it is a Grothendieck cotopos.
Proof: This follows from the dual implication.
This implication has a dual.
Show 10 categories using this implication
- category of compact Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of M-sets
- category of left modules over a ring
- category of left modules over a division ring
- category of sets
- category of vector spaces
- category of Z-sets
- category of graded modules over a graded ring
- category of simplicial sets