On strong P-points
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F13%3A10134337" target="_blank" >RIV/00216208:11210/13:10134337 - isvavai.cz</a>
Result on the web
<a href="http://logika.ff.cuni.cz/system/files/Verner:2013:Strong.pdf" target="_blank" >http://logika.ff.cuni.cz/system/files/Verner:2013:Strong.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1090/S0002-9939-2013-11518-2" target="_blank" >10.1090/S0002-9939-2013-11518-2</a>
Alternative languages
Result language
angličtina
Original language name
On strong P-points
Original language description
This paper investigates the combinatorial property of ultrafilters that Mathias forcing relativized to them does not add dominating reals. We prove that the characterization due to Hrušák and Minami is equivalent to the strong P-point property. We also consistently construct a P-point that has no rapid Rudin-Keisler predecessor but that is not a strong P-point. These results answer questions of Canjar and Laflamme.
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
<a href="/en/project/GD401%2F09%2FH007" target="_blank" >GD401/09/H007: Logical foundations of semantics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Proceedings of the American Mathematical Society
ISSN
0002-9939
e-ISSN
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Volume of the periodical
141
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
2875-2883
UT code for WoS article
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EID of the result in the Scopus database
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