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Principle S_1 (P,R): ideals and functions

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    SYSNO ASEP0503731
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitlePrinciple S_1 (P,R): ideals and functions
    Author(s) Šottová, Viera (MU-W) SAI, ORCID
    Šupina, J. (SK)
    Source TitleTopology and its Applications. - : Elsevier - ISSN 0166-8641
    Roč. 258, 15 May (2019), s. 282-304
    Number of pages23 s.
    Languageeng - English
    CountryNL - Netherlands
    Keywordsideal convergence ; quasi-normal convergence ; selection principle
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGF17-33849L GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportMU-W - RVO:67985840
    UT WOS000469310000024
    EID SCOPUS85062966352
    DOI https://doi.org/10.1016/j.topol.2019.02.060
    AnnotationWe investigate ideal versions of Scheepers' S 1 (...)-space, Arkhangel'skii's α 4 -space and Scheepers' monotonic sequence selection property, i.e., S 1 (...)-space, S 1 (... )-space and S 1 (...)-space, respectively. We show that cardinal invariant ... introduced in [42] is their common critical cardinality and we study this combinatorial characteristic in its own. For instance, we show that ... and consequently if cov ... and J has the Baire property then ... Moreover, we show that control sequence ... in the definition of (I,sJ)wQN-space in [6] is not essential.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2020
    Electronic addresshttp://dx.doi.org/10.1016/j.topol.2019.02.060
Number of the records: 1  

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