Implication Details
Assumptions: locally multi-presentable
Conclusions: accessible, multi-cocomplete
This is an equivalence.
Proof: This follows from one of equivalent formulations of locally multi-presentable categories.
Show 26 categories using this implication
- category of Banach spaces with linear contractions
- category of finite abelian groups
- category of finite groups
- category of finite sets and injections
- category of finite sets and surjections
- category of free abelian groups
- category of metric spaces with continuous maps
- category of metric spaces with ∞ allowed
- category of non-empty sets
- category of pairs of sets
- category of posets
- category of prosets
- category of set functions and commutative squares
- category of sets with finite-to-one maps
- category of simplicial sets
- category of small categories
- delooping of the additive monoid of natural numbers
- poset [0,1]
- poset of natural numbers
- proset of integers w.r.t. divisibility
- simplex category
- walking coreflexive pair
- walking fork
- walking parallel pair
- walking span
- walking splitting