Implication Details
Claim: A category is pointed if and only if it has a terminal object and has zero morphisms.
Proof: This follows from the dual implication.
Show 14 categories using this implication
- category of Banach spaces with linear contractions
- category of commutative monoids
- simplex category
- category of finite groups
- category of groups
- category of monoids
- partially ordered collection of ordinal numbers
- category of sets and relations
- category of rngs
- category of pointed sets
- category of non-empty sets
- category of pointed topological spaces
- walking coreflexive pair
- walking splitting