All uncountable cardinals can be singular

Research output: Contribution to journalArticlepeer-review


Assuming the consistency of the existence of arbitrarily large strongly compact cardinals, we prove the consistency with ZF of the statement that every infinite set is a countable union of sets of smaller cardinality. Some other statements related to this one are investigated too.

Original languageEnglish
Pages (from-to)61-88
Number of pages28
JournalIsrael Journal of Mathematics
Issue number1-2
StatePublished - Sep 1980
Externally publishedYes


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