四维空间中的所有二维链接都存在于一个通用的三维多面体中
All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron
摘要：
六元书是两个四面体沿着一个公共面粘合而成的一维骨架的圆锥体。普适的三维多面体UP是线段和六基书的乘积。我们证明了4-空间中的任何二维链接都是UP中曲面的同位素。证明的基础上表示的表面在4-空间的标记图，链接与双重交叉在3-空间。我们构造了一个中心元唯一编码所有2维链的合痕类的半群.
英文摘要：
The hexabasic book is the cone of the 1-dimensional skeleton of the union of two tetrahedra glued along a common face. The universal 3-dimensional polyhedron UP is the product of a segment and the hexabasic book. We show that any 2-dimensional link in 4-space is isotopic to a surface in UP. The proof is based on a representation of surfaces in 4-space by marked graphs, links with double intersections in 3-space. We construct a finitely presented semigroup whose central elements uniquely encode all isotopy classes of 2-dimensional links.
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