Source: wikibot/uniform-spaces
= Uniform spaces
{wiki=Uniform_spaces}
Uniform spaces are a generalization of metric spaces that provide a framework for discussing notions of uniformity and convergence without necessarily relying on a notion of distance. The primary goal of uniform spaces is to formalize and study concepts such as uniform continuity, Cauchy sequences, and completeness in a more abstract setting. \#\#\# Definition A **uniform space** is defined using a pre-uniform structure.