Implication Details
Claim: If a category has finite products and is one-way, then it has a parametrized natural numbers object.
Proof: This follows from Lemma 3 here.
Show 24 categories using this implication
- trivial category
- category of abelian groups
- category of cochain complexes of abelian groups
- category of compact Hausdorff spaces
- category of filtered vector spaces
- partially ordered set of extended natural numbers
- category of left modules over a ring
- category of left modules over a division ring
- category of left modules over a non-semisimple ring
- category of semigroups
- category of sequences of abelian groups
- category of abelian sheaves
- category of torsion abelian groups
- category of torsion-free abelian groups
- category of uniform spaces
- category of vector spaces
- preordered set of integers w.r.t. divisibility
- category of graded abelian groups
- category of graded modules over a graded ring
- real interval [0,1]
- walking commutative square
- walking composable pair
- walking isomorphism
- walking morphism