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Choice function
A choice function is a mathematical function f whose domain X is a collection of nonempty sets such that for every S in X, f(S) is in S. In other words f chooses exactly one element from each set in X.
The Axiom of Choice is often stated in terms of a choice function: "For every collection X of nonempty sets, there exists a choice function on X."
Last updated: 05-31-2005 04:49:03
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details