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Non-meagre subgroups of reals disjoint with meagre sets

  1. 1.
    SYSNO ASEP0488977
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleNon-meagre subgroups of reals disjoint with meagre sets
    Author(s) Kostana, Ziemowit (MU-W) SAI, RID
    Source TitleTopology and its Applications. - : Elsevier - ISSN 0166-8641
    Roč. 241, June (2018), s. 11-19
    Number of pages9 s.
    Languageeng - English
    CountryNL - Netherlands
    Keywordsalgebraic sum ; Baire property ; non-meaurable subgroup
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    Institutional supportMU-W - RVO:67985840
    UT WOS000432506300002
    EID SCOPUS85044575839
    DOI10.1016/j.topol.2018.03.019
    AnnotationLet (X,+) denote (R,+) or (2ω,+2). We prove that for any meagre set F⊆X there exists a subgroup G≤X without the Baire property, disjoint with some translation of F. We point out several consequences of this fact and indicate why analogous result for the measure cannot be established in ZFC. We extend proof techniques from [1].
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2019
Number of the records: 1  

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