This note is about variations on a theorem of Bers about short pants decompositions of surfaces. It contains a version for surfaces with boundary but also a slight improvement on the best-known bound for closed surfaces.

中文翻译：

---

关于较短裤子的较短注释

这篇笔记是关于关于曲面短裤分解的 Bers 定理的变体。它包含具有边界的曲面的版本，但也对最著名的封闭曲面边界进行了轻微改进。