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 |
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Pages (from-to) | 97-103 |
Number of pages | 7 |
Journal | Fundamenta Mathematicae |
Volume | 169 |
Issue number | 2 |
DOIs | |
State | Published - 1 Jan 2001 |
Keywords
- Continuum hypothesis
- Lusin
- Martin's Axiom
ASJC Scopus subject areas
- Algebra and Number Theory