Implication Details
Claim: If a symmetric monoidal category is trivial, then it is cartesian and is closed and is cocomplete and is self-dual.
Proof: This is trivial.
This implication has a dual.
Show 9 symmetric monoidal categories using this implication
- trivial symmetric monoidal category
- symmetric monoidal category of finitely generated abelian groups
- symmetric monoidal category of abelian groups
- symmetric monoidal category of finite-dimensional vector spaces
- symmetric monoidal poset of natural numbers
- symmetric monoidal category of modules over a commutative ring
- symmetric monoidal category of modules over an absolutely flat commutative ring
- symmetric monoidal category of modules over a non-absolutely flat commutative ring
- cartesian symmetric monoidal category of topological spaces