Implication Details
Assumptions: generator, self-dual
Conclusions: cogenerator
Proof: This holds by self-duality.
Show 14 categories using this implication
- category of finite sets and injections
- category of finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [finite field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated abelian groups
- category of sets and relations
- delooping of a non-trivial finite group
- delooping of an infinite countable group
- delooping of an infinite uncountable group
- delooping of the additive monoid of natural numbers
- walking idempotent
- walking morphism
- walking parallel pair
- walking splitting