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Axiom of choice, yay!

  1. Dec 9, 2007 #1

    quasar987

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    There is an axiom/lemma from Teichmilles & Tukey that is equivalent to the axiom of choice. It reads,

    Every family of sets F that is of finite character (http://en.wikipedia.org/wiki/Finite_character) possess a maximal element.

    I just want to confirm that here, "maximal set" means a set that is itself contained in no greater set?
     
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  3. Dec 10, 2007 #2

    morphism

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  4. Dec 10, 2007 #3
    Hooray for the axiom of choice!
     
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