Speakur

Word Pronunciation & Dictionary

distinguished open set

Word Rarity Uncommon

Frequency: Zipf frequency 4.16 in modern English

Syllables
dis-tin-guished open set
IPA
28
Scrabble Score
20
Letters
3
Syllables
11
Unique Chars

Meaning

noun

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.

Inflected Forms

distinguished open sets (plural)

Questions

What does distinguished open set mean?
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.

How to pronounce distinguished open set

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