A Remark on Martin's Conjecture
Gao, Su
J. Symbolic Logic, Tome 66 (2001) no. 1, p. 401-406 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We prove that the strong Martin conjecture is false. The counterexample is the first-order theory of infinite atomic Boolean algebras. We show that for this class of Boolean algebras, the classification of their ($\omega + \omega$)-elementary theories can be reduced to the classification of the elementary theories of their quotient algebras modulo the Frechet ideals.
Publié le : 2001-03-14
Classification:  
@article{1183746378,
     author = {Gao, Su},
     title = {A Remark on Martin's Conjecture},
     journal = {J. Symbolic Logic},
     volume = {66},
     number = {1},
     year = {2001},
     pages = { 401-406},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746378}
}

Gao, Su. A Remark on Martin's Conjecture. J. Symbolic Logic, Tome 66 (2001) no. 1, pp.  401-406. http://gdmltest.u-ga.fr/item/1183746378/