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Haar meager sets, their hulls, and relationship to compact sets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00466160" target="_blank" >RIV/67985840:_____/17:00466160 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/17:10371762

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jmaa.2016.09.017" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2016.09.017</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmaa.2016.09.017" target="_blank" >10.1016/j.jmaa.2016.09.017</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Haar meager sets, their hulls, and relationship to compact sets

  • Original language description

    Let G be an abelian Polish group. We show that there is a strongly Haar meager set in G without any F-sigma. Haar meager hull (and that this still remains true if we replace F-sigma by any other class of the Borel hierarchy). We also prove that there is a coanalytic naively strongly Haar meager set without any Haar meager hull. Further, we investigate the relationship of the collection of all compact sets to the collection of all Haar meager sets in non-locally compact Polish groups.

  • 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

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • 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 Analysis and Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    446

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    12

  • Pages from-to

    852-863

  • UT code for WoS article

    000386982000048

  • EID of the result in the Scopus database

    2-s2.0-84994246859