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Reference.org
Choice function
open-in-new
<p>Let <i>X</i> be a <a href="/facts/Set_of_sets/WbYof7lP">set of sets</a> none of which are empty. Then a choice function (selector, selection) on <i>X</i> is a <a href="/facts/Mathematical_function/CdReEKCh">mathematical function</a> <i>f</i> that is defined on <i>X</i> such that <i>f</i> is a mapping that assigns each element of <i>X</i> to one of its elements. </p>