A-infinity monads and completion

Tilman Bauer, Assaf Libman

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)133-155
Number of pages23
JournalJournal of Homotopy and Related Structures
Volume5
Issue number1
Publication statusPublished - 19 Apr 2011

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Monads
Completion
Infinity
Operad
Topological Category
Topological space
Functor

Keywords

  • operads
  • monads

Cite this

A-infinity monads and completion. / Bauer, Tilman; Libman, Assaf.

In: Journal of Homotopy and Related Structures, Vol. 5, No. 1, 19.04.2011, p. 133-155.

Research output: Contribution to journalArticle

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