On nicely definable forcing notions

S. Shelah

doi:10.1515/JAA.2005.1

On nicely definable forcing notions

S. Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We prove that if ℚ is a nw-nep forcing then it cannot add a dominating real. We also show that amoeba forcing cannot be P(X)/I if I is an N ₁-complete ideal. Furthermore, we generalize the results of [12].

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Journal of Applied Analysis
Volume	11
Issue number	1
DOIs	https://doi.org/10.1515/JAA.2005.1
State	Published - Jun 2005

Keywords

Nep forcing
Set theory forcing
Set theory of the reals

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10.1515/JAA.2005.1

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abstract = "We prove that if ℚ is a nw-nep forcing then it cannot add a dominating real. We also show that amoeba forcing cannot be P(X)/I if I is an N 1-complete ideal. Furthermore, we generalize the results of [12].",

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KW - Set theory forcing

KW - Set theory of the reals

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On nicely definable forcing notions

Abstract

Keywords

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