The tree property at $aleph_{omega+2}$ with a finite gap
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00531294" target="_blank" >RIV/67985840:_____/20:00531294 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11210/20:10406601
Result on the web
<a href="http://dx.doi.org/10.4064/fm866-2-2020" target="_blank" >http://dx.doi.org/10.4064/fm866-2-2020</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4064/fm866-2-2020" target="_blank" >10.4064/fm866-2-2020</a>
Alternative languages
Result language
angličtina
Original language name
The tree property at $aleph_{omega+2}$ with a finite gap
Original language description
Let n be a natural number, 2<=n<=omega. We show that it is consistent to have a model of set theory where aleph_omega is strong limit, ..., and the tree property holds at aleph_omega+2, we use a hypermeasurable cardinal of an appropriate degree and a variant of the Mitchell forcing followed by the Prikry forcing with collapses.
Czech name
—
Czech description
—
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Fundamenta Mathematicae
ISSN
0016-2736
e-ISSN
—
Volume of the periodical
251
Issue of the periodical within the volume
3
Country of publishing house
PL - POLAND
Number of pages
26
Pages from-to
219-244
UT code for WoS article
000561710500001
EID of the result in the Scopus database
2-s2.0-85092304257