Linked from

The 11 pages that link to Choice function, each with the reason it gives.

• Axiom of choiceBroader topic: It is the function whose existence the axiom asserts.

• UtilityRelated: Utility can model choice as selecting an available outcome with the highest assigned value.

• Preference relationRelated: It translates rankings into selections from available alternatives.

• Well-ordering theoremRelated: The axiom of choice asserts such functions exist, enabling well-ordering constructions.

• Revealed preferenceBroader topic: It represents the observed selections from which revealed preference relations are constructed.

• Tychonoff's theoremRelated: Selecting points from many compact factors is central to the theorem’s set-theoretic strength.

• Quotient setCompared with: Selecting representatives creates a set of chosen elements, unlike the quotient's full classes.

• Axiom of countable choiceBroader topic: The axiom asserts that such a function exists for every countable family of nonempty sets.

• Boolean prime ideal theoremRelated: Choice principles govern the theorem's existence claim and its strength.

• Axiom of global choiceRelated: The global axiom requires one choice function whose domain ranges over all nonempty sets.

• Teichmüller–Tukey lemmaBroader topic: Choice functions are the direct objects asserted by the axiom of choice equivalent to the lemma.