Implication Details
Claim: If a category has connected colimits, then it has sifted colimits.
Proof: This is because every sifted category is connected.
Show 37 categories using this implication
- category of abelian sheaves
- category of Banach spaces with linear contractions
- category of combinatorial species
- category of compact Hausdorff spaces
- category of countable groups
- category of countable sets
- category of filtered vector spaces
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- 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 finitely generated abelian groups
- category of Hausdorff spaces
- category of locally ringed spaces
- category of measurable spaces
- category of metric spaces with ∞ allowed
- category of partially ordered sets
- category of pointed topological spaces
- category of preordered sets
- category of sets with a distinguished subset
- category of sheaves
- category of small categories
- category of topological spaces
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of Z-functors
- discrete category on two objects
- empty category
- partially ordered collection of ordinal numbers
- partially ordered set of natural numbers
- preordered set of integers w.r.t. divisibility
- real interval [0,1]
- trivial category
- walking isomorphism