论文标题
从缠结二元性中获得缠结树
Obtaining trees of tangles from tangle-tree duality
论文作者
论文摘要
我们通过使用它来证明缠结的分离系统来证明缠结二元定理的多功能性。这种方法使我们能够通过界定其中的节点度来加强一些现有的缠结定理。我们还提供了二元定理的轻微加强和简化的证明，这使我们能够为不同阶的缠结得出一个缠结的定理。
We demonstrate the versatility of the tangle-tree duality theorem for abstract separation systems by using it to prove tree-of-tangles theorems. This approach allows us to strengthen some of the existing tree-of-tangles theorems by bounding the node degrees in them. We also present a slight strengthening and simplified proof of the duality theorem, which allows us to derive a tree-of-tangles theorem also for tangles of different orders.
