Implication details
Claim: If a category is countably coextensive, then it is coextensive.
Proof: This follows from the dual implication.
This implication has a dual.
Show 38 categories using this implication
- category of algebras
- delooping of the additive monoid of ordinal numbers
- category of Banach spaces with linear contractions
- category of compact Hausdorff spaces
- simplex category
- category of finite sets
- category of finite sets of odd cardinality
- category of finite sets of cardinality a power of 3
- category of finite-dimensional vector spaces
- category of finite-dimensional vector spaces [uncountable field]
- category of Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of locally ringed spaces
- category of M-sets
- category of measurable spaces
- category of metric spaces with continuous maps
- category of extended metric spaces
- category of sets with a distinguished subset
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- category of finitely generated projective modules over the ring of dual numbers
- category of sets and relations
- category of rings
- category of sets
- category of pointed sets
- category of large families of sets which are mostly singletons
- category of combinatorial species
- category of topological spaces
- category of pointed topological spaces
- category of Z-functors
- category of finite Z-sets
- category of Z-sets
- real interval [0,1]
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking morphism
- walking span