Implication Details
Assumptions: finite products, infinitary extensive
Conclusions: infinitary distributive
Reason: One can adjust the proof of Prop. 4.5 in Introduction to extensive and distributive categories (which deals with the finite case).
Show 14 categories using this implication
- category of compact Hausdorff spaces
- category of finite sets
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with non-expansive maps
- category of metric spaces with continuous maps
- category of metric spaces with ∞ allowed
- category of pseudo-metric spaces with non-expansive maps
- category of schemes
- category of combinatorial species
- category of topological spaces
- category of Z-functors
- proset of integers w.r.t. divisibility