Adding ultrafilters by definable quotients
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F11%3A10106123" target="_blank" >RIV/00216208:11210/11:10106123 - isvavai.cz</a>
Result on the web
<a href="http://ktiml.mff.cuni.cz/~verner/download/definable_quotients.pdf" target="_blank" >http://ktiml.mff.cuni.cz/~verner/download/definable_quotients.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12215-011-0064-0" target="_blank" >10.1007/s12215-011-0064-0</a>
Alternative languages
Result language
angličtina
Original language name
Adding ultrafilters by definable quotients
Original language description
Forcing notions of the type () which do not add reals naturally add ultrafilters on ?. We investigate what classes of ultrafilters can be added in this way when is a definable ideal. In particular, we show that if is an F ? P-ideal the generic ultrafilter will be a P-point without rapid RK-predecessors which is not a strong P-point. This provides an answer to long standing open 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
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Rendiconti del Circolo Matematico di Palermo
ISSN
0009-725X
e-ISSN
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Volume of the periodical
60
Issue of the periodical within the volume
3
Country of publishing house
IT - ITALY
Number of pages
9
Pages from-to
445-454
UT code for WoS article
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EID of the result in the Scopus database
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