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Polynomial functors and polynomial monads

By Nicola Gambino and Joachim Kock.

Math. Proc. Cambridge Phil. Soc. 154 (2013), 153-192.
ArXiv:0906.4931

Abstract

We study polynomial functors over locally cartesian closed categories. After setting up the basic theory, we show how polynomial functors assemble into a double category, in fact a framed bicategory. We show that the free monad on a polynomial endofunctor is polynomial. The relationship with operads and other related notions is explored.

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Last updated: 2012-12-10 by Joachim Kock.