In this work, we develop Extraction Theorems for classes of geometric objects with small extraction numbers. These classes include intervals, axis-parallel segments, axis-parallel rays, and octants. We investigate these classes of objects and prove small bounds on the extraction numbers. The tightness of these bounds is demonstrated by examples with matching lower bounds.

翻译：本文针对具有小提取数的几何对象类别发展了提取定理。这些类别包括区间、轴平行线段、轴平行射线以及卦限。我们研究了这些对象类别，并证明了其提取数的较小上界。通过构造具有匹配下界的实例，验证了这些上界的紧致性。