Bouquet of circles
= Bouquet of circles
{title2=$\bigvee_{i\in I}S^1$}
= Bouquets of circles
{synonym}
A <bouquet of circles> identifies one point of each of a family of <circles> to a common point, using the <quotient topology>. As a <CW complex> it has one <vertex> and one <graph loop> for each <circle>. The empty family means a single point. Its <fundamental group> is the <free group> on the family, as described by the <fundamental group of a bouquet of circles>.