Small forcing creates neither strong nor Woodin cardinals

Details Small forcing creates neither strong nor Woodin cardinals Small forcing creates neither strong nor Woodin cardinals

1998-08-29

arxiv.org/abs/math/9808124v1

Mathematics

Logic

6 pages, submitted to the Proceedings of the AMS

Scientific paper

After small forcing, almost every strongness embedding is the lift of a
strongness embedding in the ground model. Consequently, small forcing creates
neither strong nor Woodin cardinals.

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