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Hypergraphs and proper forcing

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00509200" target="_blank" >RIV/67985840:_____/19:00509200 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1142/S0219061319500077" target="_blank" >http://dx.doi.org/10.1142/S0219061319500077</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1142/S0219061319500077" target="_blank" >10.1142/S0219061319500077</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hypergraphs and proper forcing

  • Original language description

    Given a Polish space X and a countable collection of analytic hypergraphs on X, I consider the σ-ideal generated by Borel anticliques for the hypergraphs in the family. It turns out that many of the quotient posets are proper. I investigate the forcing properties of these posets, certain natural operations on them, and prove some related dichotomies.

  • 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

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Logic

  • ISSN

    0219-0613

  • e-ISSN

  • Volume of the periodical

    19

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    SG - SINGAPORE

  • Number of pages

    64

  • Pages from-to

    1950007

  • UT code for WoS article

    000488865700002

  • EID of the result in the Scopus database

    2-s2.0-85061718232