Causal sets

In mathematics, if a topological space $X$ is said to be complete, it may mean:

• that $X$ has been equipped with an additional Cauchy space structure which is complete,
  • e. g., that it is a complete uniform space with respect to an aforementioned uniformity,
    • e. g., that it is a complete metric space with respect to an aforementioned metric;
• or that $X$ has some topological property related to the above:
  • that it is completely metrizable (often called (metrically) topologically complete),
  • or that it is completely uniformizable (also called topologically complete by some authors).