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. Source: Internet

The Cauchy filters on a uniform space have these properties, so every uniform space (hence every metric space) defines a Cauchy space. Source: Internet

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