Phrase guide

quotient 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 space obtained from another by identification of points that are equivalent to one another in some equivalence relation.

Definition source: English Wiktionary via Wiktextract

Topics: algebra, mathematics, sciences, topology

Examples

  • 1989, unnamed translator, Nicolas Bourbaki, Elements of Mathematics: General Topology: Chapters 1-4, [1971, N. Bourbaki, Éléments de Mathématique: Topologie Générale 1-4, Masson], Springer, page 110, PROPOSITION 6. Every quotient space of a connected space is connected.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

1 source translations are retained for this English entry.

  • Finnish: tekijäavaruus — a topological space