All uncountable cardinals can be singular
- Cite this article as:
- Gitik, M. Israel J. Math. (1980) 35: 61. doi:10.1007/BF02760939
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.