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- W2995289324 abstract "Abstract The category of double categories and double functors is equipped with a symmetric closed monoidal structure. For any double category $${mathbb {A}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>A</mml:mi></mml:math> , the corresponding internal hom functor Equation missing<!-- image only, no MathML or LaTex --> sends a double category $${mathbb {B}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>B</mml:mi></mml:math> to the double category whose 0-cells are the double functors $${mathbb {A}} rightarrow {mathbb {B}}$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>A</mml:mi><mml:mo>→</mml:mo><mml:mi>B</mml:mi></mml:mrow></mml:math> , whose horizontal and vertical 1-cells are the horizontal and vertical pseudo transformations, respectively, and whose 2-cells are the modifications. Some well-known functors of practical significance are checked to be compatible with this monoidal structure." @default.
- W2995289324 created "2019-12-26" @default.
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- W2995289324 date "2019-12-18" @default.
- W2995289324 modified "2023-09-26" @default.
- W2995289324 title "The Gray Monoidal Product of Double Categories" @default.
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