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

Access to Document

10.1007/BF02937509

Cite this

@article{382006ad894543a5af4907a73e9b7ff1,

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

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.",

author = "Saharon Shelah",

year = "1994",

month = oct,

doi = "10.1007/BF02937509",

language = "אנגלית",

volume = "88",

pages = "159--174",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1-3",

}

TY - JOUR

T1 - How special are Cohen and random forcings, i.e. boolean algebras of the family of subsets of reals modulo meagre or null

AU - Shelah, Saharon

PY - 1994/10

Y1 - 1994/10

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/52449146686

U2 - 10.1007/BF02937509

DO - 10.1007/BF02937509

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:52449146686

SN - 0021-2172

VL - 88

SP - 159

EP - 174

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1-3

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this