  A relation $f\subseteq X^2$ satisfies condition $\Gamma$ if there exist
distinct $x,y\in X$ with $\langle x,x\rangle ,\langle x,y\rangle ,\langle
y,y\rangle \in f$. The authors improve a previous result by characterizing
nontrivial idempotent bonding relations on compact Hausdorff spaces as those
satisfying condition $\Gamma$.
