Source: wikibot/hausdorff-completion
= Hausdorff completion
{wiki=Hausdorff_completion}
Hausdorff completion is a mathematical process used to construct a complete metric space from a given metric space that may not be complete. The idea is to extend the space in such a way that all Cauchy sequences converge within the new space. \#\#\# Overview of the Process: 1. **Metric Spaces and Completeness**: A metric space is a set equipped with a distance function (metric) that defines how far apart the points are.