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arxiv: math/9808124 · v1 · submitted 1998-08-29 · 🧮 math.LO

Small forcing creates neither strong nor Woodin cardinals

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keywords forcingsmallcardinalscreatesembeddingneitherstrongstrongness
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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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