Implication Details
Assumptions: subobject classifier
Conclusions: regular subobject classifier
Proof: This is obvious.
Show 31 categories using this implication
- category of abelian groups
- category of abelian sheaves
- category of Banach spaces with linear contractions
- category of combinatorial species
- category of commutative monoids
- category of compact Hausdorff spaces
- category of countable sets
- category of finite abelian groups
- category of finite sets
- 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 finitely generated abelian 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 continuous maps
- category of monoids
- category of pairs of sets
- category of pointed sets
- category of posets
- category of semigroups
- category of set functions and commutative squares
- category of sets
- category of sheaves
- category of simplicial sets
- category of small categories
- category of torsion abelian groups
- category of vector spaces