A(infinity)-MONADS AND COMPLETION

作者：Bauer Tilman^*; Libman Assaf

来源：Journal of Homotopy and Related Structures, 2010, 5(1): 133-155.

• A(infinity)-monad
• completion
• cobar resolution

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.

• 出版日期2010