Implication Details
Claim: If a category is an elementary topos, then it is locally cartesian closed.
Proof: See Johnstone, Cor. A2.3.4.
Show 25 categories using this implication
- category of F(I)-sets
- category of finite sets
- category of finite sets of even cardinality
- category of finite-dimensional vector spaces
- 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 fields
- category of fields of characteristic zero
- category of Jónsson-Tarski algebras
- category of M-sets
- category of preordered sets
- category of quivers
- category of sequences of sets
- category of sets
- category of set functions and commutative squares
- category of large families of sets
- category of pairs of sets
- category of sheaves
- category of combinatorial species
- category of large families of vector spaces which are mostly zero
- category of finite Z-sets
- category of Z-sets
- category of simplicial sets
- walking parallel pair