论文标题
完全可简化的简单维恩图
Fully reducible simple Venn diagrams
论文作者
论文摘要
我们在任意维度$ \ geq 2 $的空间中概括Venn图，并研究简单的Venn图，并具有还原性的属性。简单的维恩图以完全减少它的三个等效条件，并讨论了这些图的分类。例如，我们表明，如果$ n \ leq m+1 $，并且猜想相反的话，则简单的$ m $二维$ n $ venn图是完全降低的。给出了广义维恩图和更多开放问题的应用。
We generalize Venn diagrams in spaces of arbitrary dimension $\geq 2$ and study simple Venn diagrams with the reducing property. Three equivalent conditions for a simple Venn diagram to reduce it completely and a classification of those diagrams is discussed. For example, we show that a simple $m$-dimensional $n$-Venn diagram is fully reducible if $n\leq m+1$ and conjecture that the converse is also true. An application of the generalized Venn diagrams and some more open problems are given.
