What does cofiniteness mean?

Definitions for cofiniteness
cofinite·ness

This dictionary definitions page includes all the possible meanings, example usage and translations of the word cofiniteness.

Wikipedia

  1. Cofiniteness

    In mathematics, a cofinite subset of a set X {\displaystyle X} is a subset A {\displaystyle A} whose complement in X {\displaystyle X} is a finite set. In other words, A {\displaystyle A} contains all but finitely many elements of X . {\displaystyle X.} If the complement is not finite, but it is countable, then one says the set is cocountable. These arise naturally when generalizing structures on finite sets to infinite sets, particularly on infinite products, as in the product topology or direct sum. This use of the prefix "co" to describe a property possessed by a set's complement is consistent with its use in other terms such as "comeagre set".

Wikidata

  1. Cofiniteness

    In mathematics, a cofinite subset of a set X is a subset A whose complement in X is a finite set. In other words, A contains all but finitely many elements of X. If the complement is not finite, but it is countable, then one says the set is cocountable. These arise naturally when generalizing structures on finite sets to infinite sets, particularly on infinite products, as in the product topology or direct sum.

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Numerology

  1. Chaldean Numerology

    The numerical value of cofiniteness in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of cofiniteness in Pythagorean Numerology is: 3

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"cofiniteness." Definitions.net. STANDS4 LLC, 2024. Web. 16 Apr. 2024. <https://www.definitions.net/definition/cofiniteness>.

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