• Yiannis N. Moschovakis
Part of the Undergraduate Texts in Mathematics book series (UTM)


The Axiom of Choice, AC. For any two sets A, B and any binary relation P ⊆ (A × B),
$$(\forall x \in A)(\exists y \in B)\left[ {x\,\,P\,\,y} \right] \Rightarrow (\exists f:A \to B)(\forall x \in A)\left[ {x\,P\,f(x)} \right]$$


Choice Function Axiomatic Theory Independence Result Choice Principle Partial Injection 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Yiannis N. Moschovakis
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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