### Abstract

Given an operad A of topological spaces, we consider A-monads in a topological category C . When A is an A-infinity-operad, any A-monad K : C -> C can be thought of as a monad up to coherent homotopies. We define the completion functor with respect to an A-infinity-monad and prove that it is an A-infinity-monad itself.

Original language | English |
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Pages (from-to) | 133-155 |

Number of pages | 23 |

Journal | Journal of Homotopy and Related Structures |

Volume | 5 |

Issue number | 1 |

Publication status | Published - 19 Apr 2011 |

### Keywords

- operads
- monads

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## Cite this

Bauer, T., & Libman, A. (2011). A-infinity monads and completion.

*Journal of Homotopy and Related Structures*,*5*(1), 133-155. http://arxiv.org/abs/0805.3030