Games with finitely generated structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00544167" target="_blank" >RIV/67985840:_____/21:00544167 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.apal.2021.103016" target="_blank" >https://doi.org/10.1016/j.apal.2021.103016</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apal.2021.103016" target="_blank" >10.1016/j.apal.2021.103016</a>

Result language
angličtina
Original language name
Games with finitely generated structures
Original language description
We study the abstract Banach-Mazur game played with finitely generated structures instead of open sets. We characterize the existence of winning strategies aiming at a single countably generated structure. We also introduce the concept of weak Fraïssé classes, extending the classical Fraïssé theory, revealing its relations to our Banach-Mazur game. Finally, we exhibit connections between the universality number and the weak amalgamation property.
Czech name
—
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
<a href="/en/project/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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