A simplicial $A_\infty$-operad acting on $R$-resolutions

Abstract

We construct a combinatorial model of an A-infinity-operad which acts simplicially on the cobar resolution (not just its total space) of a simplicial set with respect to a ring R.Comment: 18 pages; part 2 of a paper formerly called "$A_\infty$-monads and completion" which was split in tw