Small u(κ) at singular κ with compactness at κ++
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00553978" target="_blank" >RIV/67985840:_____/22:00553978 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00153-021-00776-5" target="_blank" >https://doi.org/10.1007/s00153-021-00776-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00153-021-00776-5" target="_blank" >10.1007/s00153-021-00776-5</a>
Alternative languages
Result language
angličtina
Original language name
Small u(κ) at singular κ with compactness at κ++
Original language description
We show that the tree property, stationary reflection and the failure of approachability at κ+ + are consistent with u(κ) = κ+< 2 κ, where κ is a singular strong limit cardinal with the countable or uncountable cofinality. As a by-product, we show that if λ is a regular cardinal, then stationary reflection at λ+ is indestructible under all λ-cc forcings (out of general interest, we also state a related result for the preservation of club stationary reflection).
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archive for Mathematical Logic
ISSN
0933-5846
e-ISSN
1432-0665
Volume of the periodical
61
Issue of the periodical within the volume
1-2
Country of publishing house
DE - GERMANY
Number of pages
22
Pages from-to
33-54
UT code for WoS article
000655417600001
EID of the result in the Scopus database
2-s2.0-85107122347