Implication Details
Claim: If a category is ℵ₁-filtered, then it is filtered.
Proof: This is trivial.
Show 30 categories using this implication
- category of algebras
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of countable groups
- category of fields
- category of finite groups
- category of finite sets and bijections
- category of finite sets and injections
- category of finite sets and surjections
- category of free abelian groups
- category of groups
- category of metric spaces with continuous maps
- category of monoids
- category of rings
- category of rngs
- category of schemes
- category of sets and relations
- category of sets with finite-to-one maps
- category of smooth manifolds
- 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
- delooping of the additive monoid of ordinal numbers
- walking fork
- walking idempotent
- walking parallel pair
- walking span
- walking splitting