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 |
|---|---|
| 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