Implication Details
Claim: If a category is a generalized variety, then it has sifted colimits.
Proof: This holds by definition.
Show 64 categories using this implication
- category of abelian groups
- category of finitely generated abelian groups
- 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
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of cochain complexes of abelian groups
- simplex category
- category of coproducts of Euclidean spaces
- category of finite sets and injections
- category of finite sets and surjections
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of finite sets of cardinality a power of 3
- 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 fields
- category of fields of characteristic zero
- category of finitely generated free abelian groups
- category of groups
- category of countable groups
- category of Jónsson-Tarski algebras
- category of M-sets
- category of smooth manifolds
- category of monoids
- partially ordered set of natural numbers
- partially ordered set of extended natural numbers
- category of partially ordered sets without isolated points
- category of finitely generated projective modules over the ring of dual numbers
- category of left modules over a ring
- category of left modules over a division ring
- category of left modules over a non-semisimple ring
- category of rings
- category of rngs
- category of schemes
- category of semigroups
- category of sequences of abelian groups
- category of sets
- category of pointed sets
- category of set functions and commutative squares
- category of countable sets
- category of sets with finite-to-one maps
- category of non-empty sets
- category of pairs of sets
- category of combinatorial species
- category of vector spaces
- category of countable-dimensional vector spaces
- category of graded abelian groups
- category of graded modules over a graded ring
- category of simplicial sets
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking morphism