# Lusin sequences under CH and under Martin's Axiom

Fundamenta Mathematicae (2001)

- Volume: 169, Issue: 2, page 97-103
- ISSN: 0016-2736

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topUri Abraham, and Saharon Shelah. "Lusin sequences under CH and under Martin's Axiom." Fundamenta Mathematicae 169.2 (2001): 97-103. <http://eudml.org/doc/281882>.

@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 -

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