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A relation $f\subseteq X^2$ satisfies condition $\Gamma$ if there existdistinct $x,y\in X$ with $\langle x,x\rangle ,\langle x,y\rangle ,\langley,y\rangle \in f$. The authors improve a previous result by characterizingnontrivial idempotent bonding relations on compact Hausdorff spaces as thosesatisfying condition $\Gamma$.

Idempotent bonding relations are nontrivial if and only if they satisfy condition Gamma