ln9
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A connected set is constructed on the special fractal set ( generalized Sierpinski rug ), and whose Hausdorff dimension is ln10 / ln9 ; then a differential function is constructed on the connected set to prove that the connected set is a Whitney 's critical set .
在特殊的分形集(广义的Sierpinski地毯)上构造一个Hausdorff维数为ln10/ln9连通集合,然后在该连通集合上构造一个可微函数,利用该函数证明了该连通集合是一个Whitney临界集。