In
mathematics, a zero-dimensional topological space (or nildimensional space) is a
topological space that has dimension zero with respect to one of several inequivalent notions of assigning a
dimension to a given topological space.[1] A graphical illustration of a zero-dimensional space is a
point.[2]
A topological space is zero-dimensional with respect to the finite-to-finite covering dimension if every finite open cover of the space has a refinement that is a finite open cover such that any point in the space is contained in exactly one open set of this refinement.