Statement
The axiom can be expressed in various ways which are equivalent:
- "Weak" form: Every class of nonempty sets has a choice function.
- V \ { ∅ } has a choice function (where V is the class of all sets; see Von Neumann universe).
- There is a well-ordering of V.
- There is a bijection between V and the class of all ordinal numbers.
Read more about this topic: Axiom Of Global Choice
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