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Principle S_1 (P,R): ideals and functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00503731" target="_blank" >RIV/67985840:_____/19:00503731 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.topol.2019.02.060" target="_blank" >http://dx.doi.org/10.1016/j.topol.2019.02.060</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.topol.2019.02.060" target="_blank" >10.1016/j.topol.2019.02.060</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Principle S_1 (P,R): ideals and functions

  • Original language description

    We 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.

  • 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

    <a href="/en/project/GF17-33849L" target="_blank" >GF17-33849L: Filters, Ultrafilters and Connections with Forcing</a><br>

  • 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

    Topology and its Applications

  • ISSN

    0166-8641

  • e-ISSN

  • Volume of the periodical

    258

  • Issue of the periodical within the volume

    15 May

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    23

  • Pages from-to

    282-304

  • UT code for WoS article

    000469310000024

  • EID of the result in the Scopus database

    2-s2.0-85062966352