Hybrid Prikry forcing
Fundamenta Mathematicae (2015)
- Volume: 228, Issue: 2, page 139-152
- ISSN: 0016-2736
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topDima Sinapova. "Hybrid Prikry forcing." Fundamenta Mathematicae 228.2 (2015): 139-152. <http://eudml.org/doc/286360>.
@article{DimaSinapova2015,
abstract = {We present a new forcing notion combining diagonal supercompact Prikry forcing with interleaved extender based forcing. We start with a supercompact cardinal κ. In the final model the cofinality of κ is ω, the singular cardinal hypothesis fails at κ, and GCH holds below κ. Moreover we define a scale at κ which has a stationary set of bad points in the ground model.},
author = {Dima Sinapova},
journal = {Fundamenta Mathematicae},
keywords = {singular cardinal hypothesis; scales; prikry type forcing; supercompact cardinals},
language = {eng},
number = {2},
pages = {139-152},
title = {Hybrid Prikry forcing},
url = {http://eudml.org/doc/286360},
volume = {228},
year = {2015},
}
TY - JOUR
AU - Dima Sinapova
TI - Hybrid Prikry forcing
JO - Fundamenta Mathematicae
PY - 2015
VL - 228
IS - 2
SP - 139
EP - 152
AB - We present a new forcing notion combining diagonal supercompact Prikry forcing with interleaved extender based forcing. We start with a supercompact cardinal κ. In the final model the cofinality of κ is ω, the singular cardinal hypothesis fails at κ, and GCH holds below κ. Moreover we define a scale at κ which has a stationary set of bad points in the ground model.
LA - eng
KW - singular cardinal hypothesis; scales; prikry type forcing; supercompact cardinals
UR - http://eudml.org/doc/286360
ER -
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