Completely separably MAD families and the modal logic of $betaomega$

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F22%3A10365335" target="_blank" >RIV/00216208:11210/22:10365335 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=d5FXEyzyTW" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=d5FXEyzyTW</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/jsl.2019.88" target="_blank" >10.1017/jsl.2019.88</a>

Result language
angličtina
Original language name
Completely separably MAD families and the modal logic of $betaomega$
Original language description
We show in ZFC that the existence of completely separable maximal almost disjoint families of subsets of $omega$ implies that the modal logic $logic{S4.1.2}$ is complete with respect to the v{C}ech-Stone compactification of the natural numbers, the space $betaomega$. In the same fashion we prove that the modal logic $logic{S4}$ is complete with respect to the space {$omega^*=betaomegasetminusomega$}.This improves the results of G.~Bezhanishvili and J.~Harding.
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
—
OECD FORD branch
60301 - Philosophy, History and Philosophy of science and technology

Project
<a href="/en/project/GF17-33849L" target="_blank" >GF17-33849L: Filters, Ultrafilters and Connections with Forcing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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