Geodesic
Polynomials in categories with pullbacks
Theory and applications of categories, Tome 30 (2015), pp. 533-598 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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The theory developed by Gambino and Kock, of polynomials over a locally cartesian closed category E, is generalised for E just having pullbacks. The 2-categorical analogue of the theory of polynomials and polynomial functors is given, and its relationship with Street's theory of fibrations within 2-categories is explored. Johnstone's notion of "bagdomain data" is adapted to the present framework to make it easier to completely exhibit examples of polynomial monads.

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Classification : 18A05, 18D20, 18D50
Keywords: polynomial functors, 2-monads 
@article{TAC_2015_30_a15,
     author = {Mark Weber},
     title = {Polynomials in categories with pullbacks},
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     pages = {533--598},
     year = {2015},
     volume = {30},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2015_30_a15/}
}
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Mark Weber. Polynomials in categories with pullbacks. Theory and applications of categories, Tome 30 (2015), pp. 533-598. http://geodesic.mathdoc.fr/item/TAC_2015_30_a15/