Construction 1.3.2.5. Let $M$ be a monoid. We let $B_{\bullet }M$ denote the nerve of the category $BM$ described in Remark 1.3.2.4. We will refer to $B_{\bullet }M$ as the *classifying simplicial set* of the monoid $M$.

$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$