论文标题
瑟斯顿的有限图像定理
Thurston's Bounded image theorem
论文作者
论文摘要
Thurston的有界图像定理是他证明Haken流形的均匀定理的关键步骤之一。 Thurston从未出版过证明，直到今天才知道任何证据，尽管其较弱的版本的证明称为有限的轨道定理。在本文中，我们依赖于克莱琳群体理论的最新发展，证明原始有界图像定理。
Thurston's bounded image theorem is one of the key steps in his proof of the uniformisation theorem for Haken manifolds. Thurston never published its proof, and no proof has been known up to today, although a proof of its weaker version, called the bounded orbit theorem is known. In this paper, we give a proof of the original bounded image theorem, relying on recent development of Kleinian group theory.
