Polynomial functors and polynomial monads

Nicola Gambino, Joachim Kock

Research output: Contribution to journalArticleResearchpeer-review

41 Citations (Scopus)

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. Copyright © 2012 Cambridge Philosophical Society.
Original languageEnglish
Pages (from-to)153-192
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume154
Issue number1
DOIs
Publication statusPublished - 1 Jan 2013

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