推开圆盘--平面上的Kneser-Poulsen猜想
Pushing disks apart - The Kneser-Poulsen conjecture in the plane
摘要：
我们给出Kneser（1955）和Poulsen（1954）的一个长期猜想的平面情形的证明。事实上，我们证明了更多的，如果一个有限集的磁盘在平面上重新安排，使每对中心之间的距离不减少，然后面积的工会不减少，和面积的交叉不增加。
英文摘要：
We give a proof of the planar case of a longstanding conjecture of Kneser (1955) and Poulsen (1954). In fact, we prove more by showing that if a finite set of disks in the plane is rearranged so that the distance between each pair of centers does not decrease, then the area of the union does not decrease, and the area of the intersection does not increase.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
