Lusin sequences under CH and under Martin's Axiom
Logic
2009-09-25 v1
Abstract
Assuming the continuum hypothesis there is an inseparable sequence of length omega_1 that contains no Lusin subsequence, while if Martin's Axiom and the negation of CH is assumed then every inseparable sequence (of length omega_1) is a union of countably many Lusin subsequences.
Cite
@article{arxiv.math/9807178,
title = {Lusin sequences under CH and under Martin's Axiom},
author = {Uri Abraham and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9807178},
year = {2009}
}