Implication Details
Claim: If a category is ℵ₁-filtered, then it is filtered.
Proof: This is trivial.
Show 40 categories using this implication
- 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 monoids
- category of commutative rings
- category of coproducts of Euclidean spaces
- category of finite sets and injections
- category of finite sets and surjections
- category of finite groups
- category of finite sets of even cardinality
- category of finite sets of odd cardinality
- category of finite sets of cardinality a power of 3
- category of fields
- category of fields of characteristic zero
- category of free abelian groups
- category of finitely generated free modules over Z x Z
- category of countable groups
- category of smooth manifolds
- category of metric spaces with continuous maps
- category of monoids
- category of partially ordered sets without isolated points
- category of finitely generated projective modules over the ring of dual numbers
- category of sets and relations
- category of rings
- category of rngs
- category of schemes
- discrete category of sets
- category of sets with finite-to-one maps
- forked commutative square
- walking fork
- walking idempotent
- walking parallel pair
- walking span
- walking splitting