Gμ-covers and ω1-strongly compact cardinals

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>

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
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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