Kerodon

$\Newextarrow{\xRightarrow}{5,5}{0x21D2}$ $\newcommand\empty{}$
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$

Example 1.1.7.2. Let $X$ be a topological space and let $\operatorname{Sing}_{\bullet }(X)$ be its singular simplicial set. The vertices of $\operatorname{Sing}_{\bullet }(X)$ can be identified with points of $X$. The edges of $\operatorname{Sing}_{\bullet }(X)$ can be identified with continuous paths $p: [0,1] \rightarrow X$.