Axiom of choice - related articles and key terms

Related articles: Model theory   Set theory   Mathematical logic   Axiom   Compact space   Continuum hypothesis   Functional analysis   Lebesgue measure   Basis (linear algebra)   Field (mathematics)   Cartesian product   Surjective function   Vector space

Key terms: zf   axiom of choice   theorem   zfc   subset   maximal   choice function   negation   provable   lemma   countable   gch   real numbers   baire   nonempty sets   bins   zermelo   least element   if zf   zf plus   infinite set   tarski   vector space   there exists a model   determinacy   weaker than   other axioms   lebesgue measurable   mathematical logic   finite sets   weaker forms   independent of zf   provable in zf   negation of ac   every infinite   functional analysis   partially ordered set   counterintuitive   totally ordered subset   cartesian product   our choice function   generalized continuum hypothesis   set of nonempty sets   axioms of set theory   require the axiom of choice   element from each set   negation of the axiom   using the axiom of choice   without the axiom of choice   boolean prime ideal theorem


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