Cohen-like first order structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00560281" target="_blank" >RIV/67985840:_____/23:00560281 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.apal.2022.103172" target="_blank" >https://doi.org/10.1016/j.apal.2022.103172</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apal.2022.103172" target="_blank" >10.1016/j.apal.2022.103172</a>

Result language
angličtina
Original language name
Cohen-like first order structures
Original language description
We study uncountable structures similar to the Fraïssé limits. The standard inductive arguments from the Fraïssé theory are replaced by forcing, so the structures we obtain are highly sensitive to the universe of set theory. In particular, the generic structures we investigate exist only in generic extensions of the universe. We prove that in most of the interesting cases the uncountable generic structures are rigid. Moreover, we provide a (consistent) example of an uncountable, dense set of reals with the group of integers as its automorphism group.
Czech name
—
Czech description
—

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

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

Similar results(10)