Implication Details
Claim: If a category has a strict terminal object, then it has a terminal object.
Proof: This follows from the dual implication.
This implication has a dual.
Show 30 categories using this implication
- empty category
- discrete category on two objects
- category of algebras
- category of finite sets and bijections
- delooping of a group
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of an infinite uncountable group
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- category of commutative algebras
- category of commutative rings
- category of finite sets and injections
- category of finite sets and surjections
- category of finite sets of even cardinality
- category of fields
- category of fields of characteristic zero
- partially ordered set of natural numbers
- partially ordered collection of ordinal numbers
- category of partially ordered sets without isolated points
- category of rings
- category of sets and bijections
- discrete category of sets
- category of large families of sets and bijections
- category of large families of sets which are mostly empty
- forked commutative square
- walking fork
- walking idempotent
- walking parallel pair
- walking span