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Gμ-covers and ω1-strongly compact cardinals

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10474844" target="_blank" >RIV/00216208:11320/23:10474844 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YBxC9CIYzN" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=YBxC9CIYzN</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.topol.2023.108652" target="_blank" >10.1016/j.topol.2023.108652</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Gμ-covers and ω1-strongly compact cardinals

  • Original language description

    Lindelof numbers of sets Z subset of beta(lambda) lambda are examined in G delta-topologies (and in G mu- topologies). The results are in a close connection to measurable and mu-strongly compact cardinal numbers. Those numbers are characterized by means of extensions of weakly complete filters, by tau-compactness of sets of certain complete ultrafilters and by Lindelof numbers of the set of uniform ultrafilters in G mu-topologies. Some known results about mu-strongly compact cardinals are reproved using set-theoretical methods. (c) 2023 Elsevier B.V. All rights reserved.

  • 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

    2023

  • 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

    1879-3207

  • Volume of the periodical

    338

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    17

  • Pages from-to

    108652

  • UT code for WoS article

    001099053200001

  • EID of the result in the Scopus database

    2-s2.0-85167416461