In mathematics, a zero-dimensional topological space is a topological space that ... any point in the space is contained in exactly one open set of this refinement.

A topological space is simply a set, B, with topology t (see the related link for a definition), and is often denoted as B, t which is similar to how a metric space is often denoted; B, D.

A Betti number is a number associated to each topological space and dimension, giving an approximate number of holes of that dimension in that space.

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A family of subsets of the direct product of a topological space with itself that is used to derive a uniform topology for the space. Also known as uniform structure.