论文标题
嵌入定理和双球体的4维盘
The 4-dimensional disc embedding theorem and dual spheres
论文作者
论文摘要
我们将嵌入定理的光盘的证据以$ 4 $ -Manifolds的形式修改为freedman and Quinn的“ 4-manifolds”一书中的定理5.1a，以构建几何双重球。这些是在声明中声称的，但没有在证明中构建。我们还从《弗里德曼·奎因（Freedman-Quinn）书》中证明了1.6关于在4个manifolds中的圆盘或球体的通用同义的书籍，这在那里尚未证明。
We modify the proof of the disc embedding theorem for $4$-manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to construct geometrically dual spheres. These were claimed in the statement but not constructed in the proof. We also prove Proposition 1.6 from the Freedman-Quinn book regarding generic homotopies of discs or spheres in a 4-manifolds, which was not proven there.
