Lusin sequences under CH and under Martin's Axiom

Uri Abraham; Saharon Shelah

doi:10.4064/fm169-2-1

Lusin sequences under CH and under Martin's Axiom

Uri Abraham^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	97-103
Number of pages	7
Journal	Fundamenta Mathematicae
Volume	169
Issue number	2
DOIs	https://doi.org/10.4064/fm169-2-1
State	Published - 2001

Keywords

Continuum hypothesis
Lusin
Martin's Axiom

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10.4064/fm169-2-1

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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.",

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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.

KW - Continuum hypothesis

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Lusin sequences under CH and under Martin's Axiom

Abstract

Keywords

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