Implication Details
Claim: If a category is locally cocartesian coclosed, then it has pushouts.
Proof: This follows from the dual implication.
Show 20 categories using this implication
- category of fields
- category of finite groups
- category of free abelian groups
- category of metric spaces with continuous maps
- category of schemes
- category of sets and relations
- category of sets with finite-to-one maps
- category of smooth manifolds
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- partially ordered collection of ordinal numbers
- partially ordered set of extended natural numbers
- partially ordered set of natural numbers
- simplex category
- walking commutative square
- walking coreflexive pair
- walking idempotent
- walking parallel pair
- walking span
- walking splitting