Sh:537
- Abraham, U., & Shelah, S. (2001). Lusin sequences under CH and under Martin’s axiom. Fund. Math., 169(2), 97–103. arXiv: math/9807178 DOI: 10.4064/fm169-2-1 MR: 1852375
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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. - Version 2001-02-12_10 (8p) published version (7p)
Bib entry
@article{Sh:537,
author = {Abraham, Uri and Shelah, Saharon},
title = {{Lusin sequences under CH and under Martin's axiom}},
journal = {Fund. Math.},
fjournal = {Fundamenta Mathematicae},
volume = {169},
number = {2},
year = {2001},
pages = {97--103},
issn = {0016-2736},
mrnumber = {1852375},
mrclass = {03E05 (03E35 03E50)},
doi = {10.4064/fm169-2-1},
note = {\href{https://arxiv.org/abs/math/9807178}{arXiv: math/9807178}},
arxiv_number = {math/9807178}
}