Editing Uniform space (section)

==History==

Before [[André Weil]] gave the first explicit definition of a uniform structure in 1937, uniform concepts, like completeness, were discussed using [[metric spaces]]. [[Nicolas Bourbaki]] provided the definition of uniform structure in terms of entourages in the book ''[[Topologie Générale]]'' and [[John Tukey]] gave the uniform cover definition. Weil also characterized uniform spaces in terms of a family of pseudometrics.