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On this page you'll find 5 example sentences with Pretopology. Discover the meaning, how to use the word correctly in a sentence.

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Pretopology in a sentence

Pretopology meaning

  1. The field of study of pretopological spaces (in plural for different prespaces).
  2. A filter subset or a preclosure operator which acts as a distinct prespace (pre-topological space).

Using Pretopology

  • The main meaning on this page is: The field of study of pretopological spaces (in plural for different prespaces). | A filter subset or a preclosure operator which acts as a distinct prespace (pre-topological space).
  • In the example corpus, pretopology often appears in combinations such as: the pretopology.

Context around Pretopology

  • Average sentence length in these examples: 24.6 words
  • Position in the sentence: 1 start, 2 middle, 2 end
  • Sentence types: 5 statements, 0 questions, 0 exclamations

Often before:

grothendieck 1× same 1×

Sentence patterns with Pretopology

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

a grothendieck pretopology 1× by a pretopology and if 1× by the pretopology which has 1× by the pretopology whose covering 1× the same pretopology we used 1×

Sentence openings and endings

Common sentence openings:

if the collection 1× the indiscrete topology 1× the zariski topology 1×

Common sentence endings:

a grothendieck pretopology 1× for covering families 1× theoretic open immersions 1× to covering families 1× we used above 1×

Words around Pretopology

Just before it in the word index:

pretomanid 3 preto 4 pretlow 2 pretlove 2 pretium 12 pretham 2

Just after it in the word index:

pretoria 284 pretoriaweb 2 pretorius 38 pretrained 4 pretreat 2 pretreated 5

Similar in corpus frequency:

aadujeevitham 7 aani 7 aarne 7 aasb 7 aasen 7 aashiqui 7

Corpus analysis for Pretopology

  • In this selection, "pretopology" usually appears in the middle of the sentence. The average example has 24.6 words, and this corpus slice is mostly made up of statements.
  • Around the word, grothendieck and same stand out and add context to how "pretopology" is used.
  • Recognizable usage signals include a grothendieck pretopology and by a pretopology and if. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "pretopology" sits close to words such as aadujeevitham, aani and aarne, which helps place it inside the broader word index.

Example types with pretopology

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

We can also define this topology using the same pretopology we used above. (13 words)

If the collection of all covering families satisfies certain axioms, then we say that they form a Grothendieck pretopology. (19 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)

Longer example sentences

If J is the topology defined by a pretopology, and if u commutes with fibered products, then u is continuous if and only if it sends covering sieves to covering sieves and if and only if it sends covering families to covering families. (43 words)

The indiscrete topology is also known as the biggest or chaotic topology, and it is generated by the pretopology which has only isomorphisms for covering families. (26 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 (5)

If J is the topology defined by a pretopology, and if u commutes with fibered products, then u is continuous if and only if it sends covering sieves to covering sieves and if and only if it sends covering families to covering families.

If the collection of all covering families satisfies certain axioms, then we say that they form a Grothendieck pretopology.

The indiscrete topology is also known as the biggest or chaotic topology, and it is generated by the pretopology which has only isomorphisms for covering families.

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

We can also define this topology using the same pretopology we used above.

Common combinations with pretopology

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "pretopology" in a sentence?
An example: "If J is the topology defined by a pretopology, and if u commutes with fibered products, then u is continuous if and only if it sends covering sieves to covering sieves and if and only if it sends covering families to covering families." This page contains 5 example sentences with the word "pretopology" from authentic English texts.
What does "pretopology" mean?
Pretopology means: The field of study of pretopological spaces (in plural for different prespaces).
How many example sentences with "pretopology" are there?
Voorbeeldzinnen.info contains 5 example sentences with "pretopology", drawn from a database of millions of English sentences.