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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

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

  • 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

  • EID of the result in the Scopus database