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Re: Uncountable List
Posted:
Dec 30, 2012 10:22 PM


On Sun, 30 Dec 2012, David C. Ullrich wrote: > William Elliot <marsh@panix.com> wrote: > > >How long does an uncountable list with no duplicates, > >of infinite binary sequences (IBS) have to be to force > >the list to contain all the IBS's? > > It's obvious that there is no length long enough to force this. A "list" > of length c (the cardinality of the set of infinite binary sequences) > need not contain all the sequences, and a list of length greater than c > must contain duplicates (and still need not contain all the sequences).
Whoops.
How long does an uncountable list have to be before it must contain a duplicate?



