Transporting an odd line along a monoidal functor #
A strong braided monoidal additive functor carries an odd line to an odd line: the square of the image is the image of the square, and the self-braiding of the image is the image of the self-braiding, which is minus an identity.
noncomputable def
RS.OddLine.map
{A : Type u₁}
[CategoryTheory.Category.{v₁, u₁} A]
[CategoryTheory.MonoidalCategory A]
[CategoryTheory.SymmetricCategory A]
[CategoryTheory.Preadditive A]
{B : Type u₂}
[CategoryTheory.Category.{v₂, u₂} B]
[CategoryTheory.MonoidalCategory B]
[CategoryTheory.SymmetricCategory B]
[CategoryTheory.Preadditive B]
(F : CategoryTheory.Functor A B)
[F.Braided]
[F.Additive]
(L : OddLine A)
:
OddLine B
The image of an odd line under a strong braided monoidal additive functor is an odd line.
Equations
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