Given a set of sets such that [tex]A_{i}\subset{C}[/tex]. Every subset has a countable infinity of elements. I want to create a set [tex]W[/tex] such that it contains exactly one element from each subset [tex]A_{i}[/tex]. I presume I can do this by describing the intersect of [tex]W[/tex] with every subset [tex]A_{i}[/tex] as containing exactly one element.(adsbygoogle = window.adsbygoogle || []).push({});

Now if, instead, I say that every subset [tex]A_{i}[/tex] is an uncountably infinite set of elements, can I still do this?

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# Choosing elements from sets.

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