极限集I的极限
Limits of limit sets I
摘要：
证明了对于几何有限Kleinian群的强收敛序列，极限集的Cannon-Thurston映射一致收敛.然而，如果代数和几何限制不同，因为在众所周知的例子，由于Kerckhoff和瑟斯顿，然后提供的几何限制是几何有限的，地图的极限集收敛逐点，但不一致。
英文摘要：
We show that for a strongly convergent sequence of geometrically finite Kleinian groups with geometrically finite limit, the Cannon-Thurston maps of limit sets converge uniformly. If however the algebraic and geometric limits differ, as in the well known examples due to Kerckhoff and Thurston, then provided the geometric limit is geometrically finite, the maps of limit sets converge pointwise but not uniformly.
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