Cauchy space
Noun
Meaning
Cauchy space (plural Cauchy spaces)
(topology) A space for which notions of a Cauchy sequence and completeness exist.
Examples
Most generally, a Cauchy space is a set equipped with a class of filters declared to be Cauchy.
The Cauchy filters on a uniform space have these properties, so every uniform space (hence every metric space) defines a Cauchy space.