In mathematics, a topological space (X, T) is called completely uniformizable[1] (or Dieudonné complete[2]) if there exists at least one complete uniformity that induces the topology T. Some authors[3] additionally require X to be Hausdorff. Some authors have called these spaces topologically complete,[4] although that term has also been used in other meanings like completely metrizable, which is a stronger property than completely uniformizable.