How special are Cohen and random forcings, i.e. boolean algebras of the family of subsets of reals modulo meagre or null

Saharon Shelah

doi:10.1007/BF02937509

How special are Cohen and random forcings, i.e. boolean algebras of the family of subsets of reals modulo meagre or null

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

21 Scopus citations

Abstract

We prove that any Souslin c.c.c. forcing notion which adds a nondominated real adds a Cohen real. We also prove that any Souslin c.c.c. forcing adds a real which is not on any old "narrow" tree.

Original language	English
Pages (from-to)	159-174
Number of pages	16
Journal	Israel Journal of Mathematics
Volume	88
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02937509
State	Published - Oct 1994

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How special are Cohen and random forcings, i.e. boolean algebras of the family of subsets of reals modulo meagre or null

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