Implication Details
Assumptions: countable powers, essentially countable
Conclusions: thin
Proof: Adjust the proof of Mac Lane, V.2, Prop. 3.
Show 33 categories using this implication
- category of abelian groups
- category of abelian sheaves
- category of Banach spaces with linear contractions
- category of commutative monoids
- category of compact Hausdorff spaces
- category of filtered vector spaces
- category of finite-dimensional vector spaces [countable field]
- category of finitely generated abelian groups
- category of groups
- 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 measurable spaces
- category of metric spaces with continuous maps
- category of metric spaces with ∞ allowed
- category of monoids
- category of pairs of sets
- category of pointed sets
- category of posets
- category of prosets
- category of rngs
- category of set functions and commutative squares
- category of sets
- category of sets and relations
- category of sets with a distinguished subset
- category of sheaves
- category of simplicial sets
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of vector spaces
- delooping of an infinite countable group
- delooping of the additive monoid of natural numbers