Abstract
In the paper we prove the following theorem: if for all regular \(\lambda > u, \lambda ^{\kappa _o } = \lambda\) holds, then for all singular strong limit λ>u, 2λ = λ+ holds.
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References
K. Devlin and R. Jensen—Marginalia to Silver’s theorem, Proceedings of Kiel Conference, Springer Lecture Notes in Mathematics.
F. Drake—Set Theory, North-Holland, 1974.
M. Magidor, A note on singular cardinals problem, mimeographed notes.
K. Přikry—Another proof of Silver’s theorem, mimeographed notes.
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© 1976 Springer-Verlag
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Balcar, B., Guzicki, W. (1976). A remark on powers of singular cardinals. In: Marek, W., Srebrny, M., Zarach, A. (eds) Set Theory and Hierarchy Theory A Memorial Tribute to Andrzej Mostowski. Lecture Notes in Mathematics, vol 537. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096890
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DOI: https://doi.org/10.1007/BFb0096890
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