What does cofinite mean?
Definitions for cofinite
cofi·nite
This dictionary definitions page includes all the possible meanings, example usage and translations of the word cofinite.
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Wiktionary
cofiniteadjective
Having a finite absolute complement.
Wikipedia
cofinite
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".
Editors Contribution
cofinite
Given a set X, we say a set A is cofinite if A's compliment has a finite number of elements. That is, A is cofinite if X - A is finite.
Let X = { 1, 2, 3, 4, 5}. Let A = {1, 2, 3}. Note A's compliment, X - A = {4, 5}. Since X - A has two elements, X - A is finite. Therefore the set A is cofinite.
Numerology
Chaldean Numerology
The numerical value of cofinite in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of cofinite in Pythagorean Numerology is: 9
Translations for cofinite
From our Multilingual Translation Dictionary
- cofiniteHungarian
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"cofinite." Definitions.net. STANDS4 LLC, 2024. Web. 27 Nov. 2024. <https://www.definitions.net/definition/cofinite>.
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