### Abstract

Original language | English |
---|---|

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 |

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### Keywords

- operads
- monads

### Cite this

*Journal of Homotopy and Related Structures*,

*5*(1), 133-155.

**A-infinity monads and completion.** / Bauer, Tilman; Libman, Assaf.

Research output: Contribution to journal › Article

*Journal of Homotopy and Related Structures*, vol. 5, no. 1, pp. 133-155.

}

TY - JOUR

T1 - A-infinity monads and completion

AU - Bauer, Tilman

AU - Libman, Assaf

PY - 2011/4/19

Y1 - 2011/4/19

N2 - 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.

AB - 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.

KW - operads

KW - monads

M3 - Article

VL - 5

SP - 133

EP - 155

JO - Journal of Homotopy and Related Structures

JF - Journal of Homotopy and Related Structures

SN - 1512-2891

IS - 1

ER -