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

Moti Gitik; Mohammad Golshani

Fundamenta Mathematicae (2015)

  • Volume: 231, Issue: 3, page 209-224
  • ISSN: 0016-2736

Abstract

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

How to cite

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Moti Gitik, and Mohammad Golshani. "Adding a lot of Cohen reals by adding a few. II." Fundamenta Mathematicae 231.3 (2015): 209-224. <http://eudml.org/doc/283261>.

@article{MotiGitik2015,
abstract = {We study pairs (V, V₁), V ⊆ V₁, of models of ZFC such that adding κ-many Cohen reals over V₁ adds λ-many Cohen reals over V for some λ > κ.},
author = {Moti Gitik, Mohammad Golshani},
journal = {Fundamenta Mathematicae},
keywords = {Cohen reals; iterated prikry forcing; measurable cardinals; ; but by (b); $\kappa $ is necessarily a singular cardinal of cofinality $\omega $},
language = {eng},
number = {3},
pages = {209-224},
title = {Adding a lot of Cohen reals by adding a few. II},
url = {http://eudml.org/doc/283261},
volume = {231},
year = {2015},
}

TY - JOUR
AU - Moti Gitik
AU - Mohammad Golshani
TI - Adding a lot of Cohen reals by adding a few. II
JO - Fundamenta Mathematicae
PY - 2015
VL - 231
IS - 3
SP - 209
EP - 224
AB - We study pairs (V, V₁), V ⊆ V₁, of models of ZFC such that adding κ-many Cohen reals over V₁ adds λ-many Cohen reals over V for some λ > κ.
LA - eng
KW - Cohen reals; iterated prikry forcing; measurable cardinals; ; but by (b); $\kappa $ is necessarily a singular cardinal of cofinality $\omega $
UR - http://eudml.org/doc/283261
ER -

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