Phrase guide

metric space

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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No pronunciation record was provided for this word.

1

noun

Meaning 1

Any set on which a metric is defined, giving a distance between any two elements.

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences, topology

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: mathematical space, topological space

Narrower terms: Euclidean space, Hilbert space

History

Etymology

No etymology was provided for this word.

Across languages

Translations

22 source translations are retained for this English entry.

  • Afrikaans: metriese ruimte — space (mathematics)
  • Chinese Mandarin: 度量空間 /度量空间 — space (mathematics)
  • Czech: metrický prostor — space (mathematics)
  • Danish: metrisk rum — space (mathematics)
  • Dutch: metrische ruimte — space (mathematics)
  • Finnish: metrinen avaruus — space (mathematics)
  • French: espace métrique — space (mathematics)
  • Galician: espazo métrico — space (mathematics)
  • German: metrischer Raum — space (mathematics)
  • Greek: μετρικός χώρος (metrikós chóros) — space (mathematics)
  • Icelandic: firðrúm — space (mathematics)
  • Irish: spás méadrach — space (mathematics)
  • Italian: spazio metrico — space (mathematics)
  • Japanese: 距離空間 — space (mathematics)
  • Lithuanian: metrinė erdvė — space (mathematics)
  • Polish: przestrzeń metryczna — space (mathematics)
  • Portuguese: espaço métrico — space (mathematics)
  • Romanian: spațiu metric — space (mathematics)
  • Russian: метри́ческое простра́нство (metríčeskoje prostránstvo) — space (mathematics)
  • Spanish: espacio métrico — space (mathematics)
  • Swedish: metriskt rum — space (mathematics)
  • Welsh: gofod metrig — space (mathematics)