广义的Sierpinski地毯的Whitney临界集

Whitney's critical sets on the generalized Sierpinski rug

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。

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.