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- Complete_metric_space abstract "In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g. √2 is "missing" from it, even though one can construct a Cauchy sequence of rational numbers that converges to it. (See the examples below.) It is always possible to "fill all the holes", leading to the completion of a given space, as explained below.".
- Complete_metric_space wikiPageID "7832".
- Complete_metric_space wikiPageRevisionID "599827525".
- Complete_metric_space hasPhotoCollection Complete_metric_space.
- Complete_metric_space subject Category:Metric_geometry.
- Complete_metric_space comment "In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary). For instance, the set of rational numbers is not complete, because e.g.".
- Complete_metric_space label "Complete metric space".
- Complete_metric_space label "Espace complet".
- Complete_metric_space label "Espacio completo".
- Complete_metric_space label "Espaço completo".
- Complete_metric_space label "Przestrzeń zupełna".
- Complete_metric_space label "Spazio metrico completo".
- Complete_metric_space label "Volledig (topologie)".
- Complete_metric_space label "Vollständiger Raum".
- Complete_metric_space label "Полное метрическое пространство".
- Complete_metric_space label "فضاء كامل".
- Complete_metric_space label "完備距離空間".
- Complete_metric_space label "完备空间".
- Complete_metric_space sameAs Úplný_metrický_prostor.
- Complete_metric_space sameAs Vollständiger_Raum.
- Complete_metric_space sameAs Espacio_completo.
- Complete_metric_space sameAs Espace_complet.
- Complete_metric_space sameAs Spazio_metrico_completo.
- Complete_metric_space sameAs 完備距離空間.
- Complete_metric_space sameAs 완비_거리공간.
- Complete_metric_space sameAs Volledig_(topologie).
- Complete_metric_space sameAs Przestrzeń_zupełna.
- Complete_metric_space sameAs Espaço_completo.
- Complete_metric_space sameAs m.02643.
- Complete_metric_space sameAs Q848569.
- Complete_metric_space sameAs Q848569.
- Complete_metric_space wasDerivedFrom Complete_metric_space?oldid=599827525.
- Complete_metric_space isPrimaryTopicOf Complete_metric_space.