Polynomial functors and polynomial monads

Details Polynomial functors and polynomial monads Polynomial functors and polynomial monads

2009-06-26

arxiv.org/abs/0906.4931v2

Mathematics

Category Theory

41 pages, latex, 2 ps figures generated at runtime by the texdraw package (does not compile with pdflatex). v2: removed assump

Scientific paper

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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