0PBS Remark 7.4.29. The picture below shows what would go wrong in Lemma 7.4.28 if we allowed unoriented points in ZexcZ_{exc}. In the proof, we need ζ^′\hat{\zeta}^{\prime} and ζ^′′\hat{\zeta}^{\prime\prime} to be in L(θ)L(\theta), which would not be true if this example were valid.