Let $X = [0, 1]^n, n \geq 1$. We show that the typical (in the sense of Baire category) compact subset of $X$ is not only a zero dimensional Cantor space but it satisfies the property of being strongly microscopic, which is stronger than dimension zero.

中文翻译：

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关于某些通用小Cantor空间

令$ X = [0，1] ^ n，n \ geq 1 $。我们表明，$ X $的典型（在Baire类中）紧致子集不仅是零维Cantor空间，而且还满足强微观的特性，它比零维强。