Cauchy-complete space
[KOH-shee KOM-pleet speys]
nounpl: Cauchy-complete spaces
espaço de Cauchy-completo
1. A metric space in which every Cauchy sequence converges to a point within the space; a complete metric space in the sense of Cauchy sequences
The real numbers form a Cauchy-complete space under the standard metric.
Os números reais formam um espaço de Cauchy-completo sob a métrica padrão.
2. In functional analysis, a uniform space where every Cauchy net or Cauchy filter converges
A Banach space is a Cauchy-complete space with a norm structure.
Um espaço de Banach é um espaço de Cauchy-completo com estrutura de norma.
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