Martin Hyland (DPMMS, University of Cambridge) |
Christine Tasson (IRIF, Université de Paris) |

We introduce a general construction on 2-monads. We develop background on maps of 2-monads, their left semi-algebras, and colimits in 2-category. Then, we introduce the construction of a colimit induced by a map of 2-monads, show that we obtain the structure of a 2-monad and give a characterisation of its algebras. Finally, we apply the construction to the map of 2-monads between free symmetric monoidal and the free cartesian 2-monads and combine them into a linear-non-linear 2-monad. |

Published: 8th February 2021.

ArXived at: http://dx.doi.org/10.4204/EPTCS.333.15 | bibtex | |

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