On a theorem of silver |
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| Authors: | JE Baumgartner K Prikry |
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| Institution: | 1. Dartmouth College, Hanover, N.H. 03755, USA;2. School of Mathematics, University of Minnesota, Minneapolis, Minn. 55455, USA;3. Institute for Advanced Study, Princeton, N.J., USA |
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| Abstract: | A recent theorem of Silver, in its simplest form, states, that if ω < cf(k) < k and 2λ=λ+ for all λ < k, then 2k=k+. Silver's proof employs Boolean-valued as well as nonstandard models of set theory. In the present note we give an elementary proof of Silver's theorem in its general form. |
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