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删除6字节 、 2020年11月1日 (日) 18:13
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But topological dimension is a very crude measure of the local size of a space (size near a point). A curve that is almost space-filling can still have topological dimension one, even if it fills up most of the area of a region. A fractal has an integer topological dimension, but in terms of the amount of space it takes up, it behaves like a higher-dimensional space.
 
But topological dimension is a very crude measure of the local size of a space (size near a point). A curve that is almost space-filling can still have topological dimension one, even if it fills up most of the area of a region. A fractal has an integer topological dimension, but in terms of the amount of space it takes up, it behaves like a higher-dimensional space.
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但是,拓扑维度是对空间局部尺寸(点附近的尺寸)的一个非常粗略的度量。一条几乎是空间填充的曲线仍然可以有一维拓扑,即使它填充了一个区域的大部分面积。分形具有整数的拓扑维数,但就其所占空间的空间量而言,它看起来像一个更高维的空间。
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但是,拓扑维度是对空间局部尺寸(点附近的尺寸)的一个非常粗略的度量。一条几乎是空间填充的曲线仍然可以有一维拓扑,即使它填充了一个区域的大部分面积。分形具有整数的拓扑维数,但就其所占的空间量而言,它看起来像一个更高维的空间。
     
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