Acyclicity in the group-completion theorem

Abstract

We prove acyclicity of the comparison map $M_{\infty }\to \Omega BM$ in the group-completion theorem under the assumption that ${\pi }_0(M)$ is a right denominator set in $H_{\ast }(M)$.

arXiv comment12 pages, revised version of the 2017 preprint "A remark on the group-completion theorem"