Silver type theorems for collapses

نویسنده

  • Moti Gitik
چکیده

The classical theorem of Silver states that GCH cannot break for the first time over a singular cardinal of uncountable cofinality. On the other hand it is easy to obtain a situation where GCH breaks on a club below a singular cardinal κ of an uncountable cofinality but 2 = κ. We would like here to investigate the situation once blowing up power of singular cardinals is replaced by collapses of their successors.

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تاریخ انتشار 2014