Nicely generated and chaotic ideals
Logic
2008-02-03 v1
Abstract
We show that if the real line is the disjoint union of kappa meager sets such that every meager set is contained in a countable union of them, then kappa = omega_1. This answers a question addressed by J. Cichon. We also prove two theorems saying roughly that any attempt to produce the isomorphism type of the meager ideal in the Cohen real and the random real extensions must fail. All our results hold for "meager" replaced by "null", as well.
Keywords
Cite
@article{arxiv.math/9407208,
title = {Nicely generated and chaotic ideals},
author = {Jörg Brendle},
journal= {arXiv preprint arXiv:math/9407208},
year = {2008}
}