论文标题
2个复合物的双重基质 - 重新审视
Dual matroids of 2-complexes -- revisited
论文作者
论文摘要
我们证明，只有当它们的双重矩形是图形的，只有在且仅当它们的双重配合物嵌入了3空间时。举例说明，只需简单地连接和局部性的假设。这可以被视为1932年惠特尼平面标准的三维类似物。
We prove that simply connected local 2-dimensional simplicial complexes embed in 3-space if and only if their dual matroids are graphic. Examples are provided that the assumptions of simply connectedness and locality are necessary. This may be regarded as a 3-dimensional analogue of Whitney's planarity criterion from 1932.
