Implication Details
Claim: If a category is essentially finite, then it is essentially countable and is locally finite.
Proof: This is trivial.
Show 25 categories using this implication
- category of combinatorial species
- category of fields
- category of finite-dimensional vector spaces [countable field]
- category of finite-dimensional vector spaces [uncountable field]
- category of finitely generated abelian groups
- category of pseudo-metric spaces with non-expansive maps
- category of sets with finite-to-one maps
- delooping of a non-trivial finite group
- delooping of an infinite countable group
- delooping of an infinite uncountable group
- delooping of the additive monoid of natural numbers
- discrete category on two objects
- empty category
- real interval [0,1]
- trivial category
- walking commutative square
- walking composable pair
- walking coreflexive pair
- walking fork
- walking idempotent
- walking isomorphism
- walking morphism
- walking parallel pair
- walking span
- walking splitting