Phrase guide

Hausdorff space

noun · 1 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

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

A topological space in which for any two distinct points x and y, there is a pair of disjoint open sets U and V such that x∈U and y∈V.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, topology

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after German mathematician Felix Hausdorff (1868–1942).

Across languages

Translations

3 source translations are retained for this English entry.

  • Finnish: Hausdorffin avaruus — Translations
  • German: Hausdorff-Raum — Translations
  • Polish: przestrzeń Hausdorffa — Translations