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arXiv · 0906.4931

Polynomial functors and polynomial monads

Nicola Gambino·Joachim Kock
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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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Nicola Gambino, Joachim Kock. 2010-03-06. Polynomial functors and polynomial monads. https://doi.org/10.1017/s0305004112000394

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