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.

18 pages; part 2 of a paper formerly called "$A_{\infty }$-monads and completion" which was split in two