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Wondering how to use Metacompact in a sentence? Below are 3 example sentences from authentic English texts. Including the meaning .

Rare word

Metacompact in a sentence

Metacompact meaning

Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover.

Using Metacompact

  • The main meaning on this page is: Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover.
  • In the example corpus, metacompact often appears in combinations such as: is metacompact, metacompact space, metacompact if.

Context around Metacompact

  • Average sentence length in these examples: 24.3 words
  • Position in the sentence: 0 start, 3 middle, 0 end
  • Sentence types: 3 statements, 0 questions, 0 exclamations

Often after:

space 1×

Sentence patterns with Metacompact

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

space is metacompact if every 2× and every metacompact space is 1× p 7 metacompact a space 1× space is metacompact and every 1×

Sentence openings and endings

Common sentence openings:

every paracompact space 1× to define them 1×

Common sentence endings:

finite open refinement 1× pointwise finite refinement 1× space is orthocompact 1×

Words around Metacompact

Just before it in the word index:

metacognitive 2 metacognition 4 metacharacters 7 metacharacter 2 metacentric 3 metacarpals 3

Just after it in the word index:

metacritic 43 metadata 145 metadium 4 metafarms 2 metafiction 8 metafictional 2

Similar in corpus frequency:

aaaaand 5 aaah 5 aacl 5 aak 5 aapke 5 aarav 5

Corpus analysis for Metacompact

  • In this selection, "metacompact" usually appears in the middle of the sentence. The average example has 24.3 words, and this corpus slice is mostly made up of statements.
  • Around the word, space stand out and add context to how "metacompact" is used.
  • Recognizable usage signals include space is metacompact if every and and every metacompact space is. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "metacompact" sits close to words such as aaaaand, aaah and aacl, which helps place it inside the broader word index.

Example types with metacompact

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

Every paracompact space is metacompact, and every metacompact space is orthocompact. (11 words)

To define them, we first need to extend the list of terms above: A topological space is: * metacompact if every open cover has an open pointwise finite refinement. (28 words)

If A is not meagre in X, A is of second category in X. Steen Seebach (1978) p.7 ; Metacompact : A space is metacompact if every open cover has a point finite open refinement. (34 words)

Longer example sentences

If A is not meagre in X, A is of second category in X. Steen Seebach (1978) p.7 ; Metacompact : A space is metacompact if every open cover has a point finite open refinement. (34 words)

To define them, we first need to extend the list of terms above: A topological space is: * metacompact if every open cover has an open pointwise finite refinement. (28 words)

Every paracompact space is metacompact, and every metacompact space is orthocompact. (11 words)

Example sentences (3)

Every paracompact space is metacompact, and every metacompact space is orthocompact.

If A is not meagre in X, A is of second category in X. Steen Seebach (1978) p.7 ; Metacompact : A space is metacompact if every open cover has a point finite open refinement.

To define them, we first need to extend the list of terms above: A topological space is: * metacompact if every open cover has an open pointwise finite refinement.

Common combinations with metacompact

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "metacompact" in a sentence?
An example: "Every paracompact space is metacompact, and every metacompact space is orthocompact." This page contains 3 example sentences with the word "metacompact" from authentic English texts.
What does "metacompact" mean?
Metacompact means: Of a topological space: such that every open cover has a point finite open refinement. That is, given any open cover of the topological space, there is a refinement which is again an open cover with the property that every point is contained only in finitely many sets of the refining cover.
How many example sentences with "metacompact" are there?
Voorbeeldzinnen.info contains 3 example sentences with "metacompact", drawn from a database of millions of English sentences.