Abstract
We shall now ask the following question. Suppose we start with V, extend it once by means of the forcing notion P to V[G],where G is a generic subset of P, then we take a forcing notion Q in V[G]and extend V[G]to V[G][H],where H is a subset of Q generic over V[G]; can V[G][H]be obtained from V by a single forcing extension? The answer is positive as we shall now see.
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© 1982 Springer-Verlag Berlin Heidelberg
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Shelah, S. (1982). Iteration of Forcing. In: Proper Forcing. Lecture Notes in Mathematics, vol 940. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21543-2_2
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DOI: https://doi.org/10.1007/978-3-662-21543-2_2
Publisher Name: Springer, Berlin, Heidelberg
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