Implication Details
Assumptions: essentially small, powers
Conclusions: thin
Reason: See Mac Lane, V.2, Prop. 3. The proof works for any category with powers.
Show 44 categories using this implication
- category of abelian groups
- category of finitely generated abelian groups
- category of finite sets and bijections
- delooping of an infinite countable group
- delooping of a non-trivial finite group
- delooping of the additive monoid of natural numbers
- category of Banach spaces with linear contractions
- category of commutative monoids
- category of compact Hausdorff spaces
- simplex category
- category of finite sets and injections
- category of finite sets and surjections
- category of finite abelian groups
- category of finite groups
- category of finite ordered sets
- category of finite sets
- category of groups
- category of Hausdorff spaces
- category of Jónsson-Tarski algebras
- category of locally ringed spaces
- category of M-sets
- category of measurable spaces
- category of metric spaces with ∞ allowed
- category of monoids
- category of posets
- category of prosets
- category of left modules over a ring
- category of left modules over a division ring
- category of sets and relations
- category of rngs
- category of sets
- category of pointed sets
- category of non-empty sets
- category of pairs of sets
- category of sheaves
- category of abelian sheaves
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- category of simplicial sets
- walking coreflexive pair
- walking fork
- walking parallel pair
- walking splitting