# 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 -
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} }