Geodesic
On the independence property of first order theories and indiscernible sequences
Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 126-140

Voir la notice de l'article provenant de la source Math-Net.Ru

We refute the strong version of Shelah's conjecture about models of large cardinalities, the independence property, and indiscernible sequences. We find necessary and sufficient conditions for a theory to lack the independence property and present applications of these conditions. 
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     author = {K. Zh. Kudaibergenov},
     title = {On the independence property of first order theories and indiscernible sequences},
     journal = {Matemati\v{c}eskie trudy},
     pages = {126--140},
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     url = {http://geodesic.mathdoc.fr/item/MT_2011_14_1_a4/}
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K. Zh. Kudaibergenov. On the independence property of first order theories and indiscernible sequences. Matematičeskie trudy, Tome 14 (2011) no. 1, pp. 126-140. http://geodesic.mathdoc.fr/item/MT_2011_14_1_a4/