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arXiv · 1905.07184

On some generic small Cantor spaces

Emma D'Aniello·Martina Maiuriello
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Abstract

Let $X = [0,1]^{n}$, $n \geq1$. 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 being of dimension zero.

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Emma D'Aniello, Martina Maiuriello. 2019-05-17. On some generic small Cantor spaces. https://doi.org/10.4171/zaa%2F1660

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