[FOM] Question: Large chains in the power set of reals

George Barmpalias georgeb at maths.leeds.ac.uk
Mon Oct 6 21:29:43 EDT 2008


Question:

 Is the independence from ZFC of the following statement known?

 "There are chains in the power set of reals under inclusion, which have
 the same cardinality as the power set of reals."

 Can you provide any references?

 Cheers,

 George Barmpalias





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