A lifting argument for generalized Gregorieff forcing
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F16%3A10314902" target="_blank" >RIV/00216208:11210/16:10314902 - isvavai.cz</a>
Result on the web
<a href="http://logika.ff.cuni.cz/system/files/Honzik%3Apreprint%3ALifting.pdf" target="_blank" >http://logika.ff.cuni.cz/system/files/Honzik%3Apreprint%3ALifting.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1215/00294527-3459833" target="_blank" >10.1215/00294527-3459833</a>
Alternative languages
Result language
angličtina
Original language name
A lifting argument for generalized Gregorieff forcing
Original language description
In this short paper, we describe another class of forcing notions which preserve measurability of a large cardinal κ from the optimal hypothesis, while adding new unbounded subsets to κ. In some ways these forcings are closer to the Cohen-type forcings-we show that they are not minimal-but, they share some properties with treelike forcings. We show that they admit fusion-type arguments which allow for a uniform lifting argument.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Notre Dame Journal of Formal Logic
ISSN
0029-4527
e-ISSN
—
Volume of the periodical
2016
Issue of the periodical within the volume
57 (2)
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
221-231
UT code for WoS article
000378164700005
EID of the result in the Scopus database
2-s2.0-84963811547