Implication Details
Assumptions: filtered-colimit-stable monomorphisms
Conclusions: filtered colimits
Proof: This holds by definition.
Show 23 categories using this implication
- category of finitely generated abelian groups
- delooping of the additive monoid of natural numbers
- delooping of the additive monoid of ordinal numbers
- simplex category
- category of finite sets and injections
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of free abelian groups
- category of countable groups
- category of smooth manifolds
- category of measurable spaces
- category of metric spaces with continuous maps
- poset of natural numbers
- category of sets and relations
- category of schemes
- category of countable sets
- category of sets with finite-to-one maps
- category of combinatorial species
- category of topological spaces
- category of pointed topological spaces
- walking idempotent