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arXiv · 0805.3030

A-infinity monads and completion

Tilman Bauer·Assaf Libman
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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.

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Tilman Bauer, Assaf Libman. 2010-04-02. A-infinity monads and completion. https://arxiv.org/abs/0805.3030

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