complete metric space
metric space in which cauchy sequence converges to an element of the space
Facts
6 properties- Subclass of
- metric space[1]
- Defining formula
- d(f, g) \equiv \sup\left\{d[f(x), g(x)] x \in X \right\}
- Described by source
- Armenian Soviet Encyclopedia, vol. 4[2]
- Different from
- Čech-complete space[3]
- Maintained by WikiProject
- WikiProject Mathematics[4]
- Underlying structure
- completely metrizable space[5]
🏷️ Also known as
en complete metric space
ar فضاء معياري كامل
ar فضاء كامل
cs Úplný prostor
cs úplný metrický prostor
da Fuldstændigt rum
da Fuldstændigt metrisk rum
de vollständiger Raum
el Πλήρης μετρικός χώρος
es espacio completo
es espacio metrico completo
es espacio métrico completo
fa فضای متریک کامل
fi täydellisyys
fi täydellinen
fr complété d'un espace
fr complétion métrique
fr espace complet
fr espace métrique complet
he השלמה של מרחב מטרי
🔖 Identifiers · 15
- OpenAlex ID
- C93361540
- BabelNet ID
- 00021368n
- Elhuyar ZTH ID
- 138078
- Encyclopedia of Mathematics article ID
- complete_space
- Freebase ID
- /m/02643
- Gran Enciclopèdia Catalana ID
- espai-complet
- Gran Enciclopèdia Catalana ID (former scheme)
- 0153144
- Great Russian Encyclopedia Online ID (2017)
- 3155266
- Great Russian Encyclopedia portal ID
- polnoe-prostranstvo-cf973f
- MathWorld ID
- CompleteMetricSpace
- Mathlib Declaration ID
- CompleteSpace
- Metamath statement ID
- df-cms
Show all 15 identifiers +3
- Microsoft Academic ID (discontinued)
- 93361540
- ProofWiki ID
- Definition:Complete_Metric_Space
- ScienceDirect topic ID
- mathematics/complete-metric-space
🔗 Connections
Maintained by WikiProject 1
Subclass of 1
Subtypes 1
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