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set theory > set > infinite set > cocountable subset

Preferred term

cocountable subset  

Definition

  • In mathematics, a cocountable subset of a set X is a subset Y whose complement in X is a countable set. In other words, Y contains all but countably many elements of X. Since the rational numbers are a countable subset of the reals, for example, the irrational numbers are a cocountable subset of the reals. If the complement is finite, then one says Y is cofinite.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Cocountability)

Broader concept

Entry terms

  • cocountability

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URI

http://data.loterre.fr/ark:/67375/PSR-WDT87477-Q

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