Implication Details
Claim: If a category is multi-algebraic, then it is locally finitely multi-presentable.
Proof: This is because that every (finite product, coproduct)-sketch is clearly a (finite limit, coproduct)-sketch.
Show 49 categories using this implication
- category of abelian groups
- category of algebras
- category of Banach spaces with linear contractions
- category of combinatorial species
- category of commutative algebras
- category of commutative monoids
- category of commutative rings
- category of compact Hausdorff spaces
- category of countable groups
- category of countable sets
- category of fields
- category of finite ordered sets
- category of finite sets
- category of finite sets and injections
- 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 groups
- category of Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of left modules over a division ring
- category of left modules over a ring
- category of M-sets
- category of metric spaces with ∞ allowed
- category of monoids
- category of non-empty sets
- category of pairs of sets
- category of pointed sets
- category of rings
- category of rngs
- category of semigroups
- category of set functions and commutative squares
- category of sets
- category of sets and relations
- category of simplicial sets
- category of vector spaces
- delooping of the additive monoid of natural numbers
- partially ordered set of extended natural numbers
- partially ordered set of natural numbers
- preordered set of integers w.r.t. divisibility
- real interval [0,1]
- simplex category
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking idempotent
- walking morphism
- walking parallel pair
- dual of the category of sets