Lusin sequences under CH and under Martin's Axiom

Details Lusin sequences under CH and under Martin's Axiom Lusin sequences under CH and under Martin's Axiom

1998-07-15

arxiv.org/abs/math/9807178v1

Mathematics

Logic

Scientific paper

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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