Geodesic
Kan extensions along promonoidal functors
Theory and applications of categories, Tome 1 (1995), pp. 72-78 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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Strong promonoidal functors are defined. Left Kan extension (also called "existential quantification") along a strong promonoidal functor is shown to be a strong monoidal functor. A construction for the free monoidal category on a promonoidal category is provided. A Fourier-like transform of presheaves is defined and shown to take convolution product to cartesian product.

Classification : 18D10.
Keywords: monoidal functor, promonoidal category, Kan extension, Fourier transform, convolution tensor product. 
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     author = {Brian Day and Ross Street},
     title = {Kan extensions along promonoidal functors},
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     volume = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1995_1_a3/}
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Brian Day; Ross Street. Kan extensions along promonoidal functors. Theory and applications of categories, Tome 1 (1995), pp. 72-78. http://geodesic.mathdoc.fr/item/TAC_1995_1_a3/