论文标题
与多项式球体识别问题有关的新结构
New Constructions related to the Polynomial Sphere Recognition Problem
论文作者
论文摘要
我们构建了一个简单连接的$ 2- $复杂$ c $ C $嵌入$ 3- $空间，以便对于任何嵌入$ c $ in $ \ Mathbb s^3 $中的$ c $，任何边缘收缩构成了$ 2- $复杂的少数$ 2- $ complects，nove complext not $ 3- $ space。我们通过证明$ c $的每个边缘在$ \ mathbb s^3 $中的任何嵌入中形成一个非平凡的结。
We construct a simply connected $2-$complex $C$ embeddable in $3-$space such that for any embedding of $C$ in $\mathbb S^3$, any edge contraction forms a minor of the $2-$complex not embeddable in $3-$space. We achieve this by proving that every edge of $C$ forms a nontrivial knot in any of the embeddings of $C$ in $\mathbb S^3$.
