Let S be a set. A choice function for S is a function f from the set
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Let S be a set. A choice function for S is a function f from the set of all nonempty subsets of S to S such that ∫(A) ϵ A for all A ≠ Ø, A ⊂ S. Show that the Axiom of Choice is equivalent to the statement that every set S has a choice function.
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The Axiom of Choice AC states that given any collection of nonempty sets there exists a function tha...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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