In this paper, we introduce a new surgery operation on the set of collections of curves, on a closed oriented surface, whose complement is a topological disk. We prove that any two such collections can be connected by a sequence of surgeries.

中文翻译：

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表面和手术上的曲线

在本文中，我们在封闭的定向表面上以曲线集为基础介绍了一种新的手术操作，该曲面的补集是拓扑磁盘。我们证明可以通过一系列手术将任何两个这样的集合连接起来。