Adding a lot of Cohen reals by adding a few. II

Moti Gitik; Mohammad Golshani

doi:10.4064/fm231-3-1

Adding a lot of Cohen reals by adding a few. II

Moti Gitik, Mohammad Golshani

School of Mathematical Sciences

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

Abstract

We study pairs (V,V₁), V ⊂ V₁, of models of ZFC such that adding λ-many Cohen reals over V₁ adds λ-many Cohen reals over V for some λ > K.

Original language	English
Pages (from-to)	209-224
Number of pages	16
Journal	Fundamenta Mathematicae
Volume	231
Issue number	3
DOIs	https://doi.org/10.4064/fm231-3-1
State	Published - 2015

Keywords

Cohen reals
Core model
Iterated Prikry forcing
Measurable cardinals

Access to Document

10.4064/fm231-3-1

Cite this

@article{e1f5821fa7cd4796bc6787c3d454da23,

title = "Adding a lot of Cohen reals by adding a few. II",

abstract = "We study pairs (V,V1), V ⊂ V1, of models of ZFC such that adding λ-many Cohen reals over V1 adds λ-many Cohen reals over V for some λ > K.",

keywords = "Cohen reals, Core model, Iterated Prikry forcing, Measurable cardinals",

author = "Moti Gitik and Mohammad Golshani",

note = "Publisher Copyright: {\textcopyright} 2015 Instytut Matematyczny PAN.",

year = "2015",

doi = "10.4064/fm231-3-1",

language = "אנגלית",

volume = "231",

pages = "209--224",

journal = "Fundamenta Mathematicae",

issn = "0016-2736",

publisher = "Instytut Matematyczny",

number = "3",

}

TY - JOUR

T1 - Adding a lot of Cohen reals by adding a few. II

AU - Gitik, Moti

AU - Golshani, Mohammad

PY - 2015

Y1 - 2015

N2 - We study pairs (V,V1), V ⊂ V1, of models of ZFC such that adding λ-many Cohen reals over V1 adds λ-many Cohen reals over V for some λ > K.

AB - We study pairs (V,V1), V ⊂ V1, of models of ZFC such that adding λ-many Cohen reals over V1 adds λ-many Cohen reals over V for some λ > K.

KW - Cohen reals

KW - Core model

KW - Iterated Prikry forcing

KW - Measurable cardinals

UR - http://www.scopus.com/inward/record.url?scp=84941562272&partnerID=8YFLogxK

U2 - 10.4064/fm231-3-1

DO - 10.4064/fm231-3-1

M3 - מאמר

AN - SCOPUS:84941562272

VL - 231

SP - 209

EP - 224

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

SN - 0016-2736

IS - 3

ER -

Adding a lot of Cohen reals by adding a few. II

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this