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.
Keywords
- Partial Order
- Dense Subset
- Finite Subset
- Generic Subset
- Uniformization Property
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-662-21543-2_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11593-9
Online ISBN: 978-3-662-21543-2
eBook Packages: Springer Book Archive
