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Zermelo's postulate
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(Theorem)
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If $\mathcal{F}$ is a disjoint family of nonempty sets, then there is a set $C$ which has exactly one element of each $A\in \mathcal{F}$ (i.e such that $A\cap C$ is a singleton for each $A\in \mathcal{F}$ )
This is one of the many propositions that are equivalent to the axiom of choice.
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"Zermelo's postulate" is owned by Koro.
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Cross-references: axiom of choice, equivalent, propositions, singleton, disjoint
There are 3 references to this entry.
This is version 3 of Zermelo's postulate, born on 2002-12-09, modified 2006-09-13.
Object id is 3694, canonical name is ZermelosPostulate.
Accessed 3455 times total.
Classification:
| AMS MSC: | 03E25 (Mathematical logic and foundations :: Set theory :: Axiom of choice and related propositions) |
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Pending Errata and Addenda
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