Phrase guide

sober 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.

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1

noun

Meaning 1

A topological space of which every join-irreducible closed subset is the closure of exactly one point of the space.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, topology

Examples

  • 1983, Houston Journal of Mathematics, Volume 9, University of Houston, page 192, In the Hofmann and Lawson paper, it is proved that the topological space Spec(L) is a locally quasicompact sober space [...] .

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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Across languages

Translations

1 source translations are retained for this English entry.

  • Polish: przestrzeń trzeźwa — topological space of which every irreducible closed subset is the closure of exactly one point of the space