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  "body": "\n## Summary\n\nA zero-dimensional space is a [[topological space|0CQHFPGJ45]] that has a base of [[clopen sets|DQ4E55T3BW]].\nIn terms of dimension theory, a nonempty space with this property has small [[inductive dimension|MKS9H497AM]] zero.\nExamples include discrete spaces, the rational numbers and the [[Cantor set|0BXNDZFQME]].\nZero-dimensional $T_0$ spaces are [[totally disconnected|0RJSBR9GW1]], and for compact Hausdorff spaces the two notions agree.\n\n## Explanations\n\n### L1 human\n\nIn a zero-dimensional space, every small neighbourhood can be chosen with no boundary at all.\nSuch a set is both open and closed, so the space falls apart into tiny separate pieces.\nThe rational numbers are like this: the set of rationals between two irrational numbers is both open and closed in $\\Q$.\nThe real line is not, because the only sets that are both open and closed in $\\R$ are $\\emptyset$ and $\\R$.\n",
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