Lusin sequences under CH and under Martin's Axiom

by Abraham and Shelah. [AbSh:537]
Fundamenta Math, 2001
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.


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