bn:03161045n
Noun Concept
Categories: Axiom of choice, Wikipedia articles incorporating text from PlanetMath
EN
axiom of countable choice  ACω  axiom of denumerable choice  Countable axiom of choice  countable choice
EN
The axiom of countable choice or axiom of denumerable choice, denoted ACω, is an axiom of set theory that states that every countable collection of non-empty sets must have a choice function. Wikipedia
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EN
The axiom of countable choice or axiom of denumerable choice, denoted ACω, is an axiom of set theory that states that every countable collection of non-empty sets must have a choice function. Wikipedia
Axiom of set theory, asserting that the product of a countable family of nonempty sets is nonempty Wikidata
A weaker form of the axiom of choice that states that every countable collection of nonempty sets must have a choice function; equivalently, the statement that the direct product of a countable collection of nonempty sets is nonempty. Wiktionary
Axiom of set theory. Wiktionary (translation)