The Axiom of Choice for Well-Ordered Families and for Families of Well- Orderable Sets
Howard, Paul ; Rubin, Jean E.
J. Symbolic Logic, Tome 60 (1995) no. 1, p. 1115-1117 / Harvested from Project Euclid
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We show that it is not possible to construct a Fraenkel-Mostowski model in which the axiom of choice for well-ordered families of sets and the axiom of choice for sets are both true, but the axiom of choice is false.
Publié le : 1995-12-14
Classification:  
@article{1183744865,
     author = {Howard, Paul and Rubin, Jean E.},
     title = {The Axiom of Choice for Well-Ordered Families and for Families of Well- Orderable Sets},
     journal = {J. Symbolic Logic},
     volume = {60},
     number = {1},
     year = {1995},
     pages = { 1115-1117},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744865}
}

Howard, Paul; Rubin, Jean E. The Axiom of Choice for Well-Ordered Families and for Families of Well- Orderable Sets. J. Symbolic Logic, Tome 60 (1995) no. 1, pp.  1115-1117. http://gdmltest.u-ga.fr/item/1183744865/