The tree property at the aleph_2n's and the failure of SCH at aleph_omega
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F15%3A10319886" target="_blank" >RIV/00216208:11210/15:10319886 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.apal.2014.11.009" target="_blank" >http://dx.doi.org/10.1016/j.apal.2014.11.009</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apal.2014.11.009" target="_blank" >10.1016/j.apal.2014.11.009</a>
Alternative languages
Result language
angličtina
Original language name
The tree property at the aleph_2n's and the failure of SCH at aleph_omega
Original language description
We show - starting from a hypermeasurable-type large cardinal assumption - that one can force a model where 2?? = ??+2, ?? is a strong limit cardinal, and the tree property holds at all ?2n, for n > 0. This provides a partial answer to the question whether the failure of SCH at ?? is consistent with many cardinals below ?? having the tree property.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Annals of Pure and Applied Logic
ISSN
0168-0072
e-ISSN
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Volume of the periodical
166
Issue of the periodical within the volume
4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
27
Pages from-to
526-552
UT code for WoS article
000350193600004
EID of the result in the Scopus database
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