Lusin sequences under CH and under Martin's Axiom

@article{UriAbraham2001,
abstract = {Assuming the continuum hypothesis there is an inseparable sequence of length ω₁ that contains no Lusin subsequence, while if Martin's Axiom and ¬ CH are assumed then every inseparable sequence (of length ω₁) is a union of countably many Lusin subsequences.},
author = {Uri Abraham, Saharon Shelah},
journal = {Fundamenta Mathematicae},
keywords = {Lusin sequence; Martin's axiom; continuum hypothesis},
language = {eng},
number = {2},
pages = {97-103},
title = {Lusin sequences under CH and under Martin's Axiom},
url = {http://eudml.org/doc/281882},
volume = {169},
year = {2001},
}

TY - JOUR
AU - Uri Abraham
AU - Saharon Shelah
TI - Lusin sequences under CH and under Martin's Axiom
JO - Fundamenta Mathematicae
PY - 2001
VL - 169
IS - 2
SP - 97
EP - 103
AB - Assuming the continuum hypothesis there is an inseparable sequence of length ω₁ that contains no Lusin subsequence, while if Martin's Axiom and ¬ CH are assumed then every inseparable sequence (of length ω₁) is a union of countably many Lusin subsequences.
LA - eng
KW - Lusin sequence; Martin's axiom; continuum hypothesis
UR - http://eudml.org/doc/281882
ER -