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Wondering how to use Alexandroff in a sentence? Below are 8 example sentences from authentic English texts. .

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Alexandroff in a sentence

Using Alexandroff

  • In the example corpus, alexandroff often appears in combinations such as: the alexandroff, alexandroff compactification, alexandroff and.

Context around Alexandroff

  • Average sentence length in these examples: 21 words
  • Position in the sentence: 1 start, 6 middle, 1 end
  • Sentence types: 8 statements, 0 questions, 0 exclamations

Often before:

1916 1× boris 1× isomorphic 1×

Often after:

compactification 3× extension 2× sur 1× extensions 1×

Sentence patterns with Alexandroff

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

called the alexandroff one point 1× compactification or alexandroff compactification 1× compactification or alexandroff compactification of 1× grandfather boris alexandroff was one 1× have isomorphic alexandroff extensions 1× in 1916 alexandroff and hausdorff 1× particular the alexandroff extension is 1× solved p alexandroff sur la 1×

Sentence openings and endings

Common sentence openings:

as it happens 1× descriptive set theory 1× for such spaces 1× in particular homeomorphic 1× in this case 1× the theorem of 1×

Common sentence endings:

and locally compact 1× comptes rendus acad 1× descriptive set theory 1× isomorphic alexandroff extensions 1× its first president 1× more generality below 1×

Words around Alexandroff

Just before it in the word index:

alexandro 8 alexandrite 12 alexandrinus 2 alexandrines 2 alexandrine 8 alexandrina 9

Just after it in the word index:

alexandros 2 alexandrou 4 alexandroupolis 7 alexandrov 4 alexandrova 3 alexandrovich 5

Similar in corpus frequency:

aargau 11 abacos 11 abboud 11 abbreviate 11 abdelkader 11 abdomens 11

Corpus analysis for Alexandroff

  • In this selection, "alexandroff" usually appears in the middle of the sentence. The average example has 21 words, and this corpus slice is mostly made up of statements.
  • Around the word, 1916, boris, isomorphic, compactification, extension and sur stand out and add context to how "alexandroff" is used.
  • Recognizable usage signals include called the alexandroff one point and compactification or alexandroff compactification. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "alexandroff" sits close to words such as aargau, abacos and abboud, which helps place it inside the broader word index.

Example types with alexandroff

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

In particular, homeomorphic spaces have isomorphic Alexandroff extensions. (8 words)

For such spaces the Alexandroff extension is called the one-point compactification or Alexandroff compactification. (15 words)

The theorem of Alexandroff and Hausdorff was a strong impetus for further development of descriptive set theory. (17 words)

Longer example sentences

In this case it is called the one-point compactification or Alexandroff compactification of X. Recall from the above discussion that any compactification with one point remainder is necessarily (isomorphic to) the Alexandroff compactification. (34 words)

Descriptive set theory, measure theory and analysis In 1916, Alexandroff and Hausdorff independently solved P. Alexandroff: Sur la puissance des ensembles mesurables B. Comptes rendus Acad. (26 words)

The one-point compactification In particular, the Alexandroff extension is a compactification of X if and only if X is Hausdorff, noncompact and locally compact. (25 words)

Example sentences (8)

Descriptive set theory, measure theory and analysis In 1916, Alexandroff and Hausdorff independently solved P. Alexandroff: Sur la puissance des ensembles mesurables B. Comptes rendus Acad.

For such spaces the Alexandroff extension is called the one-point compactification or Alexandroff compactification.

In this case it is called the one-point compactification or Alexandroff compactification of X. Recall from the above discussion that any compactification with one point remainder is necessarily (isomorphic to) the Alexandroff compactification.

As it happens, there’s a personal connection: my mother’s grandfather, Boris Alexandroff, was one of its founders and its first president.

In particular, homeomorphic spaces have isomorphic Alexandroff extensions.

The one-point compactification In particular, the Alexandroff extension is a compactification of X if and only if X is Hausdorff, noncompact and locally compact.

The theorem of Alexandroff and Hausdorff was a strong impetus for further development of descriptive set theory.

What we have constructed is called the Alexandroff one-point compactification of the real line, discussed in more generality below.

Common combinations with alexandroff

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "alexandroff" in a sentence?
An example: "Descriptive set theory, measure theory and analysis In 1916, Alexandroff and Hausdorff independently solved P. Alexandroff: Sur la puissance des ensembles mesurables B. Comptes rendus Acad." This page contains 8 example sentences with the word "alexandroff" from authentic English texts.
How many example sentences with "alexandroff" are there?
Voorbeeldzinnen.info contains 8 example sentences with "alexandroff", drawn from a database of millions of English sentences.