View source for Countably zero-dimensional space

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A [[normal space]] $X$ that can be represented in the form of a union $X=\bigcup_{i=1}^{\infty}X_i$ of subspaces $X_i$ of dimension $\dim X_i\leq 0$.



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If $X$ is a [[metrizable space]], then its countable zero-dimensionality is equivalent to it being countable dimensional, i.e. being the union of countably many finite-dimensional subspaces.

{{SourceattributionEOM|Countably zero-dimensional space}}
[[Category:Mathematics]]