Countably zero-dimensional space
A normal space that can be represented in the form of a union of subspaces of dimension .
If 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.
Countably zero-dimensional space. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Countably_zero-dimensional_space&oldid=17731