A-infinity monads and completion
Algebraic Topology
2010-04-05 v3 Category Theory
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.
Keywords
Cite
@article{arxiv.0805.3030,
title = {A-infinity monads and completion},
author = {Tilman Bauer and Assaf Libman},
journal= {arXiv preprint arXiv:0805.3030},
year = {2010}
}
Comments
23 pages. Minor errors corrected. This version will appear in the Journal of Homotopy and Related Structures