An algebraic stack $X$ has an induced topological space $|X|$ given by equivalence classes of fields mapping to $X$ as outlined in the stacks project. If $|X|$ is connected, does that imply there exists a smooth map $V \to X$ from a connected scheme $V$?

My naive guess is to take an atlas $V \to X$ and try to glue it along its intersection, piecing together disjoint components of $V$, or perhaps take a colimit along inclusions over connected, smooth $V \to X$.

A positive answer to this question would simplify a technical argument.

specializes to$B\mathbb{G}_{m}$ (in, say $[\mathbb{A}^{1}/\mathbb{G}_{m}]$), etc? $\endgroup$1more comment