It is shown that $\operatorname{Con}(ZF)$ implies $\operatorname{Con}(ZFC$ + there exists a Dowker filter on $\omega_2$). The problem is also considered on higher cardinals.
Publié le : 1991-12-14
Classification:
Dowker filter,
$\lambda$-Dowker filter,
forcing iteration with $<\kappa$-supports,
03E05
@article{1183743815,
author = {Balogh, Z. and Gruenhage, G.},
title = {On a Problem of C. H. Dowker},
journal = {J. Symbolic Logic},
volume = {56},
number = {1},
year = {1991},
pages = { 1284-1289},
language = {en},
url = {http://dml.mathdoc.fr/item/1183743815}
}
Balogh, Z.; Gruenhage, G. On a Problem of C. H. Dowker. J. Symbolic Logic, Tome 56 (1991) no. 1, pp. 1284-1289. http://gdmltest.u-ga.fr/item/1183743815/