A-infinity monads and completion
classification
🧮 math.AT
math.CT
keywords
a-infinity-monadcompletiontopologicala-infinitya-infinity-operada-monada-monadscategory
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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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