Implication Details
Assumptions: connected colimits
Conclusions: sifted colimits
Proof: This is because every sifted category is connected.
Show 32 categories using this implication
- empty category
- trivial category
- discrete category on two objects
- category of finitely generated abelian groups
- category of Banach spaces with linear contractions
- category of small categories
- category of compact Hausdorff spaces
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of countable groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with ∞ allowed
- poset of natural numbers
- poset of ordinal numbers
- category of posets
- category of prosets
- category of countable sets
- category of sheaves
- category of abelian sheaves
- category of combinatorial species
- category of topological spaces
- category of pointed topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of Z-functors
- proset of integers w.r.t. divisibility
- poset [0,1]
- walking isomorphism