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Get to know Urysohn better with 6 real example sentences.

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Urysohn in a sentence

Context around Urysohn

  • Average sentence length in these examples: 22.2 words
  • Position in the sentence: 5 start, 0 middle, 1 end
  • Sentence types: 6 statements, 0 questions, 0 exclamations

Sentence patterns with Urysohn

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

corollaries to urysohn s theorem 1× to the urysohn s lemma 1× urysohn s lemma 1× urysohn s sister 1× urysohn s theorem 1× what urysohn had shown 1×

Sentence openings and endings

Common sentence openings:

equivalent statements this 1× several other metrization 1× urysohn s lemma 1× urysohn s sister 1× urysohn s theorem 1× what urysohn had 1×

Common sentence endings:

a continuous function 1× and second countable 1× life and childhood 1× space is metrizable 1× spaces are normal 1× urysohn s theorem 1×

Words around Urysohn

Just before it in the word index:

ury 8 urwp 2 urwin 2 urwa 2 urw 4 urvon 3

Just after it in the word index:

uryu 15 urza 2 urzada 2 us 67.769 usa 3.435 usaa 13

Similar in corpus frequency:

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

Corpus analysis for Urysohn

  • In this selection, "urysohn" usually appears near the start of the sentence. The average example has 22.2 words, and this corpus slice is mostly made up of statements.
  • Recognizable usage signals include corollaries to urysohn s theorem and to the urysohn s lemma. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "urysohn" sits close to words such as aaas, aacc and aacs, which helps place it inside the broader word index.

Example types with urysohn

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

Several other metrization theorems follow as simple corollaries to Urysohn's Theorem. (12 words)

Urysohn's sister, Lina Neiman wrote a memoir about his life and childhood. (13 words)

What Urysohn had shown, in a paper published posthumously in 1925, was that every second-countable normal Hausdorff space is metrizable). (21 words)

Longer example sentences

Equivalent statements This theorem is equivalent to the Urysohn's lemma (which is also equivalent to the normality of the space) and is widely applicable, since all metric spaces and all compact Hausdorff spaces are normal. (36 words)

Urysohn's lemma states that a topological space is normal if and only if any two disjoint closed sets can be separated by a continuous function. (26 words)

Urysohn's Theorem can be restated as: A topological space is separable and metrizable if and only if it is regular, Hausdorff and second-countable. (25 words)

Example sentences (6)

Equivalent statements This theorem is equivalent to the Urysohn's lemma (which is also equivalent to the normality of the space) and is widely applicable, since all metric spaces and all compact Hausdorff spaces are normal.

Several other metrization theorems follow as simple corollaries to Urysohn's Theorem.

Urysohn's lemma states that a topological space is normal if and only if any two disjoint closed sets can be separated by a continuous function.

Urysohn's sister, Lina Neiman wrote a memoir about his life and childhood.

Urysohn's Theorem can be restated as: A topological space is separable and metrizable if and only if it is regular, Hausdorff and second-countable.

What Urysohn had shown, in a paper published posthumously in 1925, was that every second-countable normal Hausdorff space is metrizable).

Frequently asked questions

How do you use "urysohn" in a sentence?
An example: "Equivalent statements This theorem is equivalent to the Urysohn's lemma (which is also equivalent to the normality of the space) and is widely applicable, since all metric spaces and all compact Hausdorff spaces are normal." This page contains 6 example sentences with the word "urysohn" from authentic English texts.
How many example sentences with "urysohn" are there?
Voorbeeldzinnen.info contains 6 example sentences with "urysohn", drawn from a database of millions of English sentences.