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Get to know Zariski better with 6 real example sentences, the meaning.

Rare word

Zariski in a sentence

Zariski meaning

A surname.

Using Zariski

  • The main meaning on this page is: A surname.
  • In the example corpus, zariski often appears in combinations such as: the zariski, zariski topology.

Context around Zariski

  • Average sentence length in these examples: 24.7 words
  • Position in the sentence: 2 start, 3 middle, 1 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Often after:

topology 5× open 1× tangent 1×

Sentence patterns with Zariski

These short patterns come directly from the example sentences and show how the word is often embedded:

cover on zariski open subsets 1× define the zariski tangent space 1× for the zariski topology can 1× is along zariski topology one 1× the zariski topology on 1× then the zariski topology defined 1× with the zariski topology defined 1×

Sentence openings and endings

Common sentence openings:

a basis for 1× in both categories 1× the gluing is 1× the zariski topology 1× this formulation is 1×

Common sentence endings:

as closed sets 1× constructed as follows 1× in algebraic geometry 1× of affine schemes 1× theoretic open immersions 1× zariski open subsets 1×

Words around Zariski

Just before it in the word index:

zarine 2 zarina 8 zarin 7 zarika 2 zarif 174 zariel 3

Just after it in the word index:

zarit 3 zarith 2 zariz 2 zarka 6 zarkon 2 zarkov 5

Similar in corpus frequency:

aaas 8 aacc 8 aacs 8 aafes 8 aankh 8 aapp 8

Corpus analysis for Zariski

  • In this selection, "zariski" usually appears in the middle of the sentence. The average example has 24.7 words, and this corpus slice is mostly made up of statements.
  • Around the word, topology, open and tangent stand out and add context to how "zariski" is used.
  • Recognizable usage signals include cover on zariski open subsets and define the zariski tangent space. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "zariski" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with zariski

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

A basis for the Zariski topology can be constructed as follows. (11 words)

In both categories, a covering family is defined be a family which is a cover on Zariski open subsets. (19 words)

This formulation is analogous to the construction of the cotangent space to define the Zariski tangent space in algebraic geometry. (20 words)

Longer example sentences

If one only considers the points of A, i.e. the maximal ideals in R, then the Zariski topology defined above coincides with the Zariski topology defined on algebraic sets (which has precisely the algebraic subsets as closed sets). (39 words)

The gluing is along Zariski topology; one can glue within the category of locally ringed spaces, but also, using the Yoneda embedding, within the more abstract category of presheaves of sets over the category of affine schemes. (37 words)

The Zariski topology on Sch is generated by the pretopology whose covering families are jointly surjective families of scheme-theoretic open immersions. (22 words)

Example sentences (6)

If one only considers the points of A, i.e. the maximal ideals in R, then the Zariski topology defined above coincides with the Zariski topology defined on algebraic sets (which has precisely the algebraic subsets as closed sets).

A basis for the Zariski topology can be constructed as follows.

In both categories, a covering family is defined be a family which is a cover on Zariski open subsets.

The gluing is along Zariski topology; one can glue within the category of locally ringed spaces, but also, using the Yoneda embedding, within the more abstract category of presheaves of sets over the category of affine schemes.

The Zariski topology on Sch is generated by the pretopology whose covering families are jointly surjective families of scheme-theoretic open immersions.

This formulation is analogous to the construction of the cotangent space to define the Zariski tangent space in algebraic geometry.

Common combinations with zariski

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "zariski" in a sentence?
An example: "If one only considers the points of A, i.e. the maximal ideals in R, then the Zariski topology defined above coincides with the Zariski topology defined on algebraic sets (which has precisely the algebraic subsets as closed sets)." This page contains 6 example sentences with the word "zariski" from authentic English texts.
What does "zariski" mean?
Zariski means: A surname.
How many example sentences with "zariski" are there?
Voorbeeldzinnen.info contains 6 example sentences with "zariski", drawn from a database of millions of English sentences.