Polynomials in categories with pullbacks

Mark Weber

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arXiv · 1106.1983

Polynomials in categories with pullbacks

Mark Weber

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Abstract

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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Mark Weber. 2015-05-21. Polynomials in categories with pullbacks. https://arxiv.org/abs/1106.1983

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