Geodesic
On Fraïssé's theorem for uncountable classes of finitely generated structures
Matematičeskie trudy, Tome 20 (2017) no. 1, pp. 121-127 
K. Zh. Kudaǐbergenov. On Fraïssé's theorem for uncountable classes of finitely generated structures. Matematičeskie trudy, Tome 20 (2017) no. 1, pp. 121-127. http://geodesic.mathdoc.fr/item/MT_2017_20_1_a6/
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     title = {On {Fra{\"\i}ss\'e's} theorem for uncountable classes of finitely generated structures},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove a weak version of Fraïssé's theorem for uncountable classes of finitely generated structures. We also solve Hodges' problem on failure of the complete analog of this theorem for uncountable classes of finitely generated structures.

[1] Ershov Yu. L., Problemy razreshimosti i konstruktivnye modeli, Nauka, M., 1980

[2] Keisler G., Chen Ch. Ch., Teoriya modelei, Mir, M., 1977

[3] Fraïssé R., “Sur l'extension aux relations de quelques propriétés des ordres”, Ann. Sci. École Norm. Sup. (3), 71 (1954), 363–388 | DOI | MR | Zbl

[4] Hodges W., Model Theory, Encyclopedia of Mathematics and Its Applications, 42, Cambridge University Press, Cambridge, 1993 | MR | Zbl