L'Axiome De Normalite Pour les Espaces Totalement Ordonnes

Haddad, Labib; Morillon, Marianne

J. Symbolic Logic, Tome 55 (1990) no. 1, p. 277-283 / Harvested from Project Euclid

Résumé

We show that the following property (LN) holds in the basic Cohen model as sketched by Jech: The order topology of any linearly ordered set is normal. This proves the independence of the axiom of choice from LN in ZF, and thus settles a question raised by G. Birkhoff (1940) which was partly answered by van Douwen (1985).

Publié le : 1990-03-14
Classification:

@article{1183743198,
     author = {Haddad, Labib and Morillon, Marianne},
     title = {L'Axiome De Normalite Pour les Espaces Totalement Ordonnes},
     journal = {J. Symbolic Logic},
     volume = {55},
     number = {1},
     year = {1990},
     pages = { 277-283},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/1183743198}
}

Haddad, Labib; Morillon, Marianne. L'Axiome De Normalite Pour les Espaces Totalement Ordonnes. J. Symbolic Logic, Tome 55 (1990) no. 1, pp.  277-283. http://gdmltest.u-ga.fr/item/1183743198/