Complete bipartite partition relations in Cohen extensions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00639222" target="_blank" >RIV/67985840:_____/25:00639222 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1017/jsl.2023.44" target="_blank" >https://doi.org/10.1017/jsl.2023.44</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/jsl.2023.44" target="_blank" >10.1017/jsl.2023.44</a>
Alternative languages
Result language
angličtina
Original language name
Complete bipartite partition relations in Cohen extensions
Original language description
We investigate the effect of adding omega(2) Cohen reals on graphs on omega(2), in particular we show that omega(2) > (omega(2), omega : omega)(2) holds after forcing with Add(omega, omega(2)) in a model of CH. We also prove that this result is in a certain sense optimal as Add(omega, omega(2)) forces that omega(2) negated right arrow (omega(2), omega : omega(1))(2).
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Symbolic Logic
ISSN
0022-4812
e-ISSN
1943-5886
Volume of the periodical
90
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
8
Pages from-to
1014-1021
UT code for WoS article
001048384200001
EID of the result in the Scopus database
2-s2.0-85164341099