Implication Details
Claim: If a category is self-dual and has ℵ₁-filtered colimits, then it has ℵ₁-cofiltered limits.
Proof: This holds by self-duality.
Show 12 categories using this implication
- delooping of the additive monoid of natural numbers
- category of finite abelian groups
- category of finite-dimensional vector spaces
- 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 free abelian groups
- category of finitely generated projective modules over the ring of dual numbers
- cocompletion of a discrete–pair join
- real interval [0,1]
- walking composable pair
- walking morphism