Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH
Sy-David Friedman; Mohammad Golshani
Fundamenta Mathematicae (2013)
- Volume: 223, Issue: 2, page 171-193
- ISSN: 0016-2736
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topSy-David Friedman, and Mohammad Golshani. "Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH." Fundamenta Mathematicae 223.2 (2013): 171-193. <http://eudml.org/doc/283086>.
@article{Sy2013,
abstract = {Starting from large cardinals we construct a pair V₁⊆ V₂ of models of ZFC with the same cardinals and cofinalities such that GCH holds in V₁ and fails everywhere in V₂.},
author = {Sy-David Friedman, Mohammad Golshani},
journal = {Fundamenta Mathematicae},
keywords = {forcing; strong cardinals; extender; extender-based Radin forcing; generalized continuum hypothesis; singular cardinal hypothesis},
language = {eng},
number = {2},
pages = {171-193},
title = {Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH},
url = {http://eudml.org/doc/283086},
volume = {223},
year = {2013},
}
TY - JOUR
AU - Sy-David Friedman
AU - Mohammad Golshani
TI - Killing GCH everywhere by a cofinality-preserving forcing notion over a model of GCH
JO - Fundamenta Mathematicae
PY - 2013
VL - 223
IS - 2
SP - 171
EP - 193
AB - Starting from large cardinals we construct a pair V₁⊆ V₂ of models of ZFC with the same cardinals and cofinalities such that GCH holds in V₁ and fails everywhere in V₂.
LA - eng
KW - forcing; strong cardinals; extender; extender-based Radin forcing; generalized continuum hypothesis; singular cardinal hypothesis
UR - http://eudml.org/doc/283086
ER -
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