Word.ws English Dictionary

distinguished open sets

distinguished open sets is the plural of distinguished open set.

Meaning of distinguished open set

Noun

distinguished open set (plural distinguished open sets)

  1. A particularly basic kind of set, generalizing the notion of the complement of a hypersurface, originating in the study of algebraic varieties but in modern mathematics also extending to the setting of affine schemes. Formally: (in the context of affine or projective varieties) the complement of the zero locus of a polynomial in affine or projective space; (in scheme theory) the subset of prime ideals of a commutative ring which do not contain some element of the ring.

Questions about distinguished open sets

What is distinguished open sets the plural of?
Distinguished open sets is the plural of distinguished open set.

Words near distinguished open sets in the dictionary

  1. distinguishableness
  2. distinguishably
  3. distinguished
  4. Distinguished Competition
  5. distinguished open set
  6. distinguished open sets
  7. distinguished professor
  8. distinguished professors
  9. distinguishedly
  10. distinguishedness
  11. distinguisher

Source and license

Adapted from Wiktionary: distinguished open sets (page history and authors); distinguished open set (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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