Phrase guide

Zariski topology

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

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1

noun

Meaning 1

Originally, a topology applicable to algebraic varieties, such that the closed sets are the variety's algebraic subvarieties; later, a generalisation in which the topological space is the set of prime ideals of a commutative ring and is called the spectrum of the ring.

Definition source: English Wiktionary via Wiktextract

Topics: algebraic-geometry, geometry, mathematics, sciences

Examples

  • The Zariski topology allows tools from topology to be used in the study of algebraic varieties, even when the underlying field is not a topological field.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

After Russian-born American mathematician Oscar Zariski (1899—1986), regarded as one of the most influential algebraic geometers of the 20th century.

Across languages

Translations

3 source translations are retained for this English entry.

  • German: Zariski-Topologie — Translations
  • Polish: topologia Zariskiego — Translations
  • Russian: топология Зарисского (topologija Zarisskovo) — Translations